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Finding the Fourth Proportional to 499.59, 689.42 and 312.95

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Solution

The fourth proportional to 499.59, 689.42 and 312.95 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.59 : 689.42 = 312.95 : x
  2. Step 2: Convert to fraction form
    499.59/689.42 = 312.95/x
  3. Step 3: Cross multiply
    499.59x = 689.42 × 312.95
  4. Step 4: Simplify right side
    499.59x = 215,748.98
  5. Step 5: Solve for x
    x = 215,748.98/499.59
  6. Step 6: Final answer
    x = 431.85

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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.