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Finding the Fourth Proportional to 519.84, 717.05 and 354.13

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Solution

The fourth proportional to 519.84, 717.05 and 354.13 is: 488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 717.05 = 354.13 : x
  2. Step 2: Convert to fraction form
    519.84/717.05 = 354.13/x
  3. Step 3: Cross multiply
    519.84x = 717.05 × 354.13
  4. Step 4: Simplify right side
    519.84x = 253,928.01
  5. Step 5: Solve for x
    x = 253,928.01/519.84
  6. Step 6: Final answer
    x = 488.47

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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.