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Finding the Fourth Proportional to 590.91, 886.50 and 282.84

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Solution

The fourth proportional to 590.91, 886.50 and 282.84 is: 424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.91 : 886.50 = 282.84 : x
  2. Step 2: Convert to fraction form
    590.91/886.50 = 282.84/x
  3. Step 3: Cross multiply
    590.91x = 886.50 × 282.84
  4. Step 4: Simplify right side
    590.91x = 250,737.66
  5. Step 5: Solve for x
    x = 250,737.66/590.91
  6. Step 6: Final answer
    x = 424.32

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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.