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Finding the Fourth Proportional to 587.52, 811.76 and 464.13

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Solution

The fourth proportional to 587.52, 811.76 and 464.13 is: 641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 811.76 = 464.13 : x
  2. Step 2: Convert to fraction form
    587.52/811.76 = 464.13/x
  3. Step 3: Cross multiply
    587.52x = 811.76 × 464.13
  4. Step 4: Simplify right side
    587.52x = 376,763.33
  5. Step 5: Solve for x
    x = 376,763.33/587.52
  6. Step 6: Final answer
    x = 641.28

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