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Finding the Fourth Proportional to 512.61, 707.95 and 402.92

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Solution

The fourth proportional to 512.61, 707.95 and 402.92 is: 556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.61 : 707.95 = 402.92 : x
  2. Step 2: Convert to fraction form
    512.61/707.95 = 402.92/x
  3. Step 3: Cross multiply
    512.61x = 707.95 × 402.92
  4. Step 4: Simplify right side
    512.61x = 285,247.21
  5. Step 5: Solve for x
    x = 285,247.21/512.61
  6. Step 6: Final answer
    x = 556.46

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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.