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Finding the Fourth Proportional to 520.27, 718.34 and 354.42

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Solution

The fourth proportional to 520.27, 718.34 and 354.42 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.27 : 718.34 = 354.42 : x
  2. Step 2: Convert to fraction form
    520.27/718.34 = 354.42/x
  3. Step 3: Cross multiply
    520.27x = 718.34 × 354.42
  4. Step 4: Simplify right side
    520.27x = 254,592.29
  5. Step 5: Solve for x
    x = 254,592.29/520.27
  6. Step 6: Final answer
    x = 489.35

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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.