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Finding the Fourth Proportional to 459.62, 634.36 and 312.50

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Solution

The fourth proportional to 459.62, 634.36 and 312.50 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.62 : 634.36 = 312.50 : x
  2. Step 2: Convert to fraction form
    459.62/634.36 = 312.50/x
  3. Step 3: Cross multiply
    459.62x = 634.36 × 312.50
  4. Step 4: Simplify right side
    459.62x = 198,237.50
  5. Step 5: Solve for x
    x = 198,237.50/459.62
  6. Step 6: Final answer
    x = 431.31

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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.