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Finding the Fourth Proportional to 459.85, 634.72 and 285.10

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Solution

The fourth proportional to 459.85, 634.72 and 285.10 is: 393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.85 : 634.72 = 285.10 : x
  2. Step 2: Convert to fraction form
    459.85/634.72 = 285.10/x
  3. Step 3: Cross multiply
    459.85x = 634.72 × 285.10
  4. Step 4: Simplify right side
    459.85x = 180,958.67
  5. Step 5: Solve for x
    x = 180,958.67/459.85
  6. Step 6: Final answer
    x = 393.52

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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.