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Finding the Fourth Proportional to 435.68, 652.96 and 313.70

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Solution

The fourth proportional to 435.68, 652.96 and 313.70 is: 470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.68 : 652.96 = 313.70 : x
  2. Step 2: Convert to fraction form
    435.68/652.96 = 313.70/x
  3. Step 3: Cross multiply
    435.68x = 652.96 × 313.70
  4. Step 4: Simplify right side
    435.68x = 204,833.55
  5. Step 5: Solve for x
    x = 204,833.55/435.68
  6. Step 6: Final answer
    x = 470.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.