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Finding the Fourth Proportional to 590.53, 886.20 and 469.57

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Solution

The fourth proportional to 590.53, 886.20 and 469.57 is: 704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.53 : 886.20 = 469.57 : x
  2. Step 2: Convert to fraction form
    590.53/886.20 = 469.57/x
  3. Step 3: Cross multiply
    590.53x = 886.20 × 469.57
  4. Step 4: Simplify right side
    590.53x = 416,132.93
  5. Step 5: Solve for x
    x = 416,132.93/590.53
  6. Step 6: Final answer
    x = 704.68

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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.