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Finding the Fourth Proportional to 657.55, 907.19 and 377.59

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Solution

The fourth proportional to 657.55, 907.19 and 377.59 is: 520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.55 : 907.19 = 377.59 : x
  2. Step 2: Convert to fraction form
    657.55/907.19 = 377.59/x
  3. Step 3: Cross multiply
    657.55x = 907.19 × 377.59
  4. Step 4: Simplify right side
    657.55x = 342,545.87
  5. Step 5: Solve for x
    x = 342,545.87/657.55
  6. Step 6: Final answer
    x = 520.94

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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.