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Finding the Fourth Proportional to 572.24, 854.54 and 449.12

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Solution

The fourth proportional to 572.24, 854.54 and 449.12 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.24 : 854.54 = 449.12 : x
  2. Step 2: Convert to fraction form
    572.24/854.54 = 449.12/x
  3. Step 3: Cross multiply
    572.24x = 854.54 × 449.12
  4. Step 4: Simplify right side
    572.24x = 383,791.00
  5. Step 5: Solve for x
    x = 383,791.00/572.24
  6. Step 6: Final answer
    x = 670.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.