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Finding the Fourth Proportional to 522.55, 721.29 and 467.19

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Solution

The fourth proportional to 522.55, 721.29 and 467.19 is: 644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.55 : 721.29 = 467.19 : x
  2. Step 2: Convert to fraction form
    522.55/721.29 = 467.19/x
  3. Step 3: Cross multiply
    522.55x = 721.29 × 467.19
  4. Step 4: Simplify right side
    522.55x = 336,979.48
  5. Step 5: Solve for x
    x = 336,979.48/522.55
  6. Step 6: Final answer
    x = 644.88

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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.