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Finding the Fourth Proportional to 512.66, 706.14 and 402.08

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Solution

The fourth proportional to 512.66, 706.14 and 402.08 is: 553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 706.14 = 402.08 : x
  2. Step 2: Convert to fraction form
    512.66/706.14 = 402.08/x
  3. Step 3: Cross multiply
    512.66x = 706.14 × 402.08
  4. Step 4: Simplify right side
    512.66x = 283,924.77
  5. Step 5: Solve for x
    x = 283,924.77/512.66
  6. Step 6: Final answer
    x = 553.83

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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.