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Finding the Fourth Proportional to 657.16, 906.86 and 362.42

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Solution

The fourth proportional to 657.16, 906.86 and 362.42 is: 500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 906.86 = 362.42 : x
  2. Step 2: Convert to fraction form
    657.16/906.86 = 362.42/x
  3. Step 3: Cross multiply
    657.16x = 906.86 × 362.42
  4. Step 4: Simplify right side
    657.16x = 328,664.20
  5. Step 5: Solve for x
    x = 328,664.20/657.16
  6. Step 6: Final answer
    x = 500.13

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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.