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Finding the Fourth Proportional to 657.57, 907.46 and 362.84

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Solution

The fourth proportional to 657.57, 907.46 and 362.84 is: 500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.57 : 907.46 = 362.84 : x
  2. Step 2: Convert to fraction form
    657.57/907.46 = 362.84/x
  3. Step 3: Cross multiply
    657.57x = 907.46 × 362.84
  4. Step 4: Simplify right side
    657.57x = 329,256.43
  5. Step 5: Solve for x
    x = 329,256.43/657.57
  6. Step 6: Final answer
    x = 500.72

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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.