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Finding the Fourth Proportional to 512.69, 707.64 and 291.76

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Solution

The fourth proportional to 512.69, 707.64 and 291.76 is: 402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.69 : 707.64 = 291.76 : x
  2. Step 2: Convert to fraction form
    512.69/707.64 = 291.76/x
  3. Step 3: Cross multiply
    512.69x = 707.64 × 291.76
  4. Step 4: Simplify right side
    512.69x = 206,459.59
  5. Step 5: Solve for x
    x = 206,459.59/512.69
  6. Step 6: Final answer
    x = 402.70

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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.