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Finding the Fourth Proportional to 657.50, 907.49 and 377.87

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Solution

The fourth proportional to 657.50, 907.49 and 377.87 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 907.49 = 377.87 : x
  2. Step 2: Convert to fraction form
    657.50/907.49 = 377.87/x
  3. Step 3: Cross multiply
    657.50x = 907.49 × 377.87
  4. Step 4: Simplify right side
    657.50x = 342,916.46
  5. Step 5: Solve for x
    x = 342,916.46/657.50
  6. Step 6: Final answer
    x = 521.55

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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.