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Finding the Fourth Proportional to 588.89, 813.02 and 411.53

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Solution

The fourth proportional to 588.89, 813.02 and 411.53 is: 568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.89 : 813.02 = 411.53 : x
  2. Step 2: Convert to fraction form
    588.89/813.02 = 411.53/x
  3. Step 3: Cross multiply
    588.89x = 813.02 × 411.53
  4. Step 4: Simplify right side
    588.89x = 334,580.06
  5. Step 5: Solve for x
    x = 334,580.06/588.89
  6. Step 6: Final answer
    x = 568.16

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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.