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Finding the Fourth Proportional to 590.96, 886.63 and 282.77

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Solution

The fourth proportional to 590.96, 886.63 and 282.77 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 886.63 = 282.77 : x
  2. Step 2: Convert to fraction form
    590.96/886.63 = 282.77/x
  3. Step 3: Cross multiply
    590.96x = 886.63 × 282.77
  4. Step 4: Simplify right side
    590.96x = 250,713.87
  5. Step 5: Solve for x
    x = 250,713.87/590.96
  6. Step 6: Final answer
    x = 424.25

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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.