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Finding the Fourth Proportional to 425.96, 587.75 and 315.24

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Solution

The fourth proportional to 425.96, 587.75 and 315.24 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.96 : 587.75 = 315.24 : x
  2. Step 2: Convert to fraction form
    425.96/587.75 = 315.24/x
  3. Step 3: Cross multiply
    425.96x = 587.75 × 315.24
  4. Step 4: Simplify right side
    425.96x = 185,280.73
  5. Step 5: Solve for x
    x = 185,280.73/425.96
  6. Step 6: Final answer
    x = 434.98

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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.