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Finding the Fourth Proportional to 587.12, 809.33 and 462.24

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Solution

The fourth proportional to 587.12, 809.33 and 462.24 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.12 : 809.33 = 462.24 : x
  2. Step 2: Convert to fraction form
    587.12/809.33 = 462.24/x
  3. Step 3: Cross multiply
    587.12x = 809.33 × 462.24
  4. Step 4: Simplify right side
    587.12x = 374,102.39
  5. Step 5: Solve for x
    x = 374,102.39/587.12
  6. Step 6: Final answer
    x = 637.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.