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Finding the Fourth Proportional to 657.68, 907.58 and 362.92

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Solution

The fourth proportional to 657.68, 907.58 and 362.92 is: 500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 907.58 = 362.92 : x
  2. Step 2: Convert to fraction form
    657.68/907.58 = 362.92/x
  3. Step 3: Cross multiply
    657.68x = 907.58 × 362.92
  4. Step 4: Simplify right side
    657.68x = 329,378.93
  5. Step 5: Solve for x
    x = 329,378.93/657.68
  6. Step 6: Final answer
    x = 500.82

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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.