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Finding the Fourth Proportional to 588.84, 813.18 and 499.50

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Solution

The fourth proportional to 588.84, 813.18 and 499.50 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 813.18 = 499.50 : x
  2. Step 2: Convert to fraction form
    588.84/813.18 = 499.50/x
  3. Step 3: Cross multiply
    588.84x = 813.18 × 499.50
  4. Step 4: Simplify right side
    588.84x = 406,183.41
  5. Step 5: Solve for x
    x = 406,183.41/588.84
  6. Step 6: Final answer
    x = 689.80

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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.