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Finding the Fourth Proportional to 313.20, 470.07 and 291.60

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Solution

The fourth proportional to 313.20, 470.07 and 291.60 is: 437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 470.07 = 291.60 : x
  2. Step 2: Convert to fraction form
    313.20/470.07 = 291.60/x
  3. Step 3: Cross multiply
    313.20x = 470.07 × 291.60
  4. Step 4: Simplify right side
    313.20x = 137,072.41
  5. Step 5: Solve for x
    x = 137,072.41/313.20
  6. Step 6: Final answer
    x = 437.65

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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.