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Finding the Fourth Proportional to 506.98, 699.38 and 297.16

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Solution

The fourth proportional to 506.98, 699.38 and 297.16 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.98 : 699.38 = 297.16 : x
  2. Step 2: Convert to fraction form
    506.98/699.38 = 297.16/x
  3. Step 3: Cross multiply
    506.98x = 699.38 × 297.16
  4. Step 4: Simplify right side
    506.98x = 207,826.76
  5. Step 5: Solve for x
    x = 207,826.76/506.98
  6. Step 6: Final answer
    x = 409.93

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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.