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Finding the Fourth Proportional to 590.58, 886.13 and 282.44

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Solution

The fourth proportional to 590.58, 886.13 and 282.44 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.58 : 886.13 = 282.44 : x
  2. Step 2: Convert to fraction form
    590.58/886.13 = 282.44/x
  3. Step 3: Cross multiply
    590.58x = 886.13 × 282.44
  4. Step 4: Simplify right side
    590.58x = 250,272.71
  5. Step 5: Solve for x
    x = 250,272.71/590.58
  6. Step 6: Final answer
    x = 423.77

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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.