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Finding the Fourth Proportional to 588.25, 811.69 and 500.10

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Solution

The fourth proportional to 588.25, 811.69 and 500.10 is: 690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.25 : 811.69 = 500.10 : x
  2. Step 2: Convert to fraction form
    588.25/811.69 = 500.10/x
  3. Step 3: Cross multiply
    588.25x = 811.69 × 500.10
  4. Step 4: Simplify right side
    588.25x = 405,926.17
  5. Step 5: Solve for x
    x = 405,926.17/588.25
  6. Step 6: Final answer
    x = 690.06

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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.