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Finding the Fourth Proportional to 588.13, 811.52 and 336.02

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Solution

The fourth proportional to 588.13, 811.52 and 336.02 is: 463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.13 : 811.52 = 336.02 : x
  2. Step 2: Convert to fraction form
    588.13/811.52 = 336.02/x
  3. Step 3: Cross multiply
    588.13x = 811.52 × 336.02
  4. Step 4: Simplify right side
    588.13x = 272,682.47
  5. Step 5: Solve for x
    x = 272,682.47/588.13
  6. Step 6: Final answer
    x = 463.65

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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.