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Finding the Fourth Proportional to 588.50, 812.13 and 402.02

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Solution

The fourth proportional to 588.50, 812.13 and 402.02 is: 554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.50 : 812.13 = 402.02 : x
  2. Step 2: Convert to fraction form
    588.50/812.13 = 402.02/x
  3. Step 3: Cross multiply
    588.50x = 812.13 × 402.02
  4. Step 4: Simplify right side
    588.50x = 326,492.50
  5. Step 5: Solve for x
    x = 326,492.50/588.50
  6. Step 6: Final answer
    x = 554.79

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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.