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Finding the Fourth Proportional to 313.70, 471.56 and 291.15

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Solution

The fourth proportional to 313.70, 471.56 and 291.15 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 471.56 = 291.15 : x
  2. Step 2: Convert to fraction form
    313.70/471.56 = 291.15/x
  3. Step 3: Cross multiply
    313.70x = 471.56 × 291.15
  4. Step 4: Simplify right side
    313.70x = 137,293.24
  5. Step 5: Solve for x
    x = 137,293.24/313.70
  6. Step 6: Final answer
    x = 437.66

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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.