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Finding the Fourth Proportional to 588.86, 810.78 and 500.15

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Solution

The fourth proportional to 588.86, 810.78 and 500.15 is: 688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.86 : 810.78 = 500.15 : x
  2. Step 2: Convert to fraction form
    588.86/810.78 = 500.15/x
  3. Step 3: Cross multiply
    588.86x = 810.78 × 500.15
  4. Step 4: Simplify right side
    588.86x = 405,513.64
  5. Step 5: Solve for x
    x = 405,513.64/588.86
  6. Step 6: Final answer
    x = 688.64

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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.