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Finding the Fourth Proportional to 504.75, 696.57 and 297.75

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Solution

The fourth proportional to 504.75, 696.57 and 297.75 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.75 : 696.57 = 297.75 : x
  2. Step 2: Convert to fraction form
    504.75/696.57 = 297.75/x
  3. Step 3: Cross multiply
    504.75x = 696.57 × 297.75
  4. Step 4: Simplify right side
    504.75x = 207,403.72
  5. Step 5: Solve for x
    x = 207,403.72/504.75
  6. Step 6: Final answer
    x = 410.90

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Find fourth proportional to 252.38, 348.29 and 148.88
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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.