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Finding the Fourth Proportional to 458.88, 688.43 and 253.17

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Solution

The fourth proportional to 458.88, 688.43 and 253.17 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 688.43 = 253.17 : x
  2. Step 2: Convert to fraction form
    458.88/688.43 = 253.17/x
  3. Step 3: Cross multiply
    458.88x = 688.43 × 253.17
  4. Step 4: Simplify right side
    458.88x = 174,290.46
  5. Step 5: Solve for x
    x = 174,290.46/458.88
  6. Step 6: Final answer
    x = 379.82

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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.