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Finding the Fourth Proportional to 930.46, 1,395.40 and 314.04

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Solution

The fourth proportional to 930.46, 1,395.40 and 314.04 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.46 : 1,395.40 = 314.04 : x
  2. Step 2: Convert to fraction form
    930.46/1,395.40 = 314.04/x
  3. Step 3: Cross multiply
    930.46x = 1,395.40 × 314.04
  4. Step 4: Simplify right side
    930.46x = 438,211.42
  5. Step 5: Solve for x
    x = 438,211.42/930.46
  6. Step 6: Final answer
    x = 470.96

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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.