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Finding the Fourth Proportional to 657.46, 907.32 and 362.72

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Solution

The fourth proportional to 657.46, 907.32 and 362.72 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.46 : 907.32 = 362.72 : x
  2. Step 2: Convert to fraction form
    657.46/907.32 = 362.72/x
  3. Step 3: Cross multiply
    657.46x = 907.32 × 362.72
  4. Step 4: Simplify right side
    657.46x = 329,103.11
  5. Step 5: Solve for x
    x = 329,103.11/657.46
  6. Step 6: Final answer
    x = 500.57

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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.