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Finding the Fourth Proportional to 320.71, 442.50 and 315.85

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Solution

The fourth proportional to 320.71, 442.50 and 315.85 is: 435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.71 : 442.50 = 315.85 : x
  2. Step 2: Convert to fraction form
    320.71/442.50 = 315.85/x
  3. Step 3: Cross multiply
    320.71x = 442.50 × 315.85
  4. Step 4: Simplify right side
    320.71x = 139,761.41
  5. Step 5: Solve for x
    x = 139,761.41/320.71
  6. Step 6: Final answer
    x = 435.79

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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.