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Finding the Fourth Proportional to 590.93, 886.72 and 282.74

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Solution

The fourth proportional to 590.93, 886.72 and 282.74 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.93 : 886.72 = 282.74 : x
  2. Step 2: Convert to fraction form
    590.93/886.72 = 282.74/x
  3. Step 3: Cross multiply
    590.93x = 886.72 × 282.74
  4. Step 4: Simplify right side
    590.93x = 250,712.72
  5. Step 5: Solve for x
    x = 250,712.72/590.93
  6. Step 6: Final answer
    x = 424.27

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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.