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Finding the Fourth Proportional to 649.93, 975.23 and 372.91

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Solution

The fourth proportional to 649.93, 975.23 and 372.91 is: 559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.93 : 975.23 = 372.91 : x
  2. Step 2: Convert to fraction form
    649.93/975.23 = 372.91/x
  3. Step 3: Cross multiply
    649.93x = 975.23 × 372.91
  4. Step 4: Simplify right side
    649.93x = 363,666.28
  5. Step 5: Solve for x
    x = 363,666.28/649.93
  6. Step 6: Final answer
    x = 559.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.