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Finding the Fourth Proportional to 512.84, 707.78 and 291.86

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Solution

The fourth proportional to 512.84, 707.78 and 291.86 is: 402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 707.78 = 291.86 : x
  2. Step 2: Convert to fraction form
    512.84/707.78 = 291.86/x
  3. Step 3: Cross multiply
    512.84x = 707.78 × 291.86
  4. Step 4: Simplify right side
    512.84x = 206,572.67
  5. Step 5: Solve for x
    x = 206,572.67/512.84
  6. Step 6: Final answer
    x = 402.80

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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.