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Finding the Fourth Proportional to 506.89, 699.52 and 297.19

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Solution

The fourth proportional to 506.89, 699.52 and 297.19 is: 410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 699.52 = 297.19 : x
  2. Step 2: Convert to fraction form
    506.89/699.52 = 297.19/x
  3. Step 3: Cross multiply
    506.89x = 699.52 × 297.19
  4. Step 4: Simplify right side
    506.89x = 207,890.35
  5. Step 5: Solve for x
    x = 207,890.35/506.89
  6. Step 6: Final answer
    x = 410.13

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.