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Finding the Fourth Proportional to 522.53, 721.13 and 301.53

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Solution

The fourth proportional to 522.53, 721.13 and 301.53 is: 416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.53 : 721.13 = 301.53 : x
  2. Step 2: Convert to fraction form
    522.53/721.13 = 301.53/x
  3. Step 3: Cross multiply
    522.53x = 721.13 × 301.53
  4. Step 4: Simplify right side
    522.53x = 217,440.82
  5. Step 5: Solve for x
    x = 217,440.82/522.53
  6. Step 6: Final answer
    x = 416.13

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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.