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Finding the Fourth Proportional to 588.82, 811.92 and 476.58

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Solution

The fourth proportional to 588.82, 811.92 and 476.58 is: 657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.82 : 811.92 = 476.58 : x
  2. Step 2: Convert to fraction form
    588.82/811.92 = 476.58/x
  3. Step 3: Cross multiply
    588.82x = 811.92 × 476.58
  4. Step 4: Simplify right side
    588.82x = 386,949.67
  5. Step 5: Solve for x
    x = 386,949.67/588.82
  6. Step 6: Final answer
    x = 657.16

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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.