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Finding the Fourth Proportional to 512.34, 704.42 and 424.86

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Solution

The fourth proportional to 512.34, 704.42 and 424.86 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 704.42 = 424.86 : x
  2. Step 2: Convert to fraction form
    512.34/704.42 = 424.86/x
  3. Step 3: Cross multiply
    512.34x = 704.42 × 424.86
  4. Step 4: Simplify right side
    512.34x = 299,277.76
  5. Step 5: Solve for x
    x = 299,277.76/512.34
  6. Step 6: Final answer
    x = 584.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.