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Finding the Fourth Proportional to 513.84, 709.14 and 292.77

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Solution

The fourth proportional to 513.84, 709.14 and 292.77 is: 404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 709.14 = 292.77 : x
  2. Step 2: Convert to fraction form
    513.84/709.14 = 292.77/x
  3. Step 3: Cross multiply
    513.84x = 709.14 × 292.77
  4. Step 4: Simplify right side
    513.84x = 207,614.92
  5. Step 5: Solve for x
    x = 207,614.92/513.84
  6. Step 6: Final answer
    x = 404.05

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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.