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Finding the Fourth Proportional to 657.24, 906.98 and 362.52

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Solution

The fourth proportional to 657.24, 906.98 and 362.52 is: 500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.24 : 906.98 = 362.52 : x
  2. Step 2: Convert to fraction form
    657.24/906.98 = 362.52/x
  3. Step 3: Cross multiply
    657.24x = 906.98 × 362.52
  4. Step 4: Simplify right side
    657.24x = 328,801.56
  5. Step 5: Solve for x
    x = 328,801.56/657.24
  6. Step 6: Final answer
    x = 500.28

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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.