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Finding the Fourth Proportional to 510.24, 703.92 and 289.14

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Solution

The fourth proportional to 510.24, 703.92 and 289.14 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 703.92 = 289.14 : x
  2. Step 2: Convert to fraction form
    510.24/703.92 = 289.14/x
  3. Step 3: Cross multiply
    510.24x = 703.92 × 289.14
  4. Step 4: Simplify right side
    510.24x = 203,531.43
  5. Step 5: Solve for x
    x = 203,531.43/510.24
  6. Step 6: Final answer
    x = 398.89

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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.