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Finding the Fourth Proportional to 657.31, 907.10 and 362.60

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Solution

The fourth proportional to 657.31, 907.10 and 362.60 is: 500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.31 : 907.10 = 362.60 : x
  2. Step 2: Convert to fraction form
    657.31/907.10 = 362.60/x
  3. Step 3: Cross multiply
    657.31x = 907.10 × 362.60
  4. Step 4: Simplify right side
    657.31x = 328,908.11
  5. Step 5: Solve for x
    x = 328,908.11/657.31
  6. Step 6: Final answer
    x = 500.39

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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.