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Finding the Fourth Proportional to 588.02, 810.74 and 422.17

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Solution

The fourth proportional to 588.02, 810.74 and 422.17 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.02 : 810.74 = 422.17 : x
  2. Step 2: Convert to fraction form
    588.02/810.74 = 422.17/x
  3. Step 3: Cross multiply
    588.02x = 810.74 × 422.17
  4. Step 4: Simplify right side
    588.02x = 342,269.13
  5. Step 5: Solve for x
    x = 342,269.13/588.02
  6. Step 6: Final answer
    x = 582.08

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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.