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Finding the Fourth Proportional to 551.24, 826.85 and 465.13

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Solution

The fourth proportional to 551.24, 826.85 and 465.13 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.24 : 826.85 = 465.13 : x
  2. Step 2: Convert to fraction form
    551.24/826.85 = 465.13/x
  3. Step 3: Cross multiply
    551.24x = 826.85 × 465.13
  4. Step 4: Simplify right side
    551.24x = 384,588.61
  5. Step 5: Solve for x
    x = 384,588.61/551.24
  6. Step 6: Final answer
    x = 697.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.