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Finding the Fourth Proportional to 459.12, 634.50 and 376.10

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Solution

The fourth proportional to 459.12, 634.50 and 376.10 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 634.50 = 376.10 : x
  2. Step 2: Convert to fraction form
    459.12/634.50 = 376.10/x
  3. Step 3: Cross multiply
    459.12x = 634.50 × 376.10
  4. Step 4: Simplify right side
    459.12x = 238,630.40
  5. Step 5: Solve for x
    x = 238,630.40/459.12
  6. Step 6: Final answer
    x = 519.76

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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.