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Finding the Fourth Proportional to 431.34, 647.13 and 248.88

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Solution

The fourth proportional to 431.34, 647.13 and 248.88 is: 373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 647.13 = 248.88 : x
  2. Step 2: Convert to fraction form
    431.34/647.13 = 248.88/x
  3. Step 3: Cross multiply
    431.34x = 647.13 × 248.88
  4. Step 4: Simplify right side
    431.34x = 161,057.71
  5. Step 5: Solve for x
    x = 161,057.71/431.34
  6. Step 6: Final answer
    x = 373.39

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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.