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Finding the Fourth Proportional to 431.52, 647.50 and 249.08

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Solution

The fourth proportional to 431.52, 647.50 and 249.08 is: 373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.52 : 647.50 = 249.08 : x
  2. Step 2: Convert to fraction form
    431.52/647.50 = 249.08/x
  3. Step 3: Cross multiply
    431.52x = 647.50 × 249.08
  4. Step 4: Simplify right side
    431.52x = 161,279.30
  5. Step 5: Solve for x
    x = 161,279.30/431.52
  6. Step 6: Final answer
    x = 373.75

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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.