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Finding the Fourth Proportional to 316.56, 472.45 and 296.04

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Solution

The fourth proportional to 316.56, 472.45 and 296.04 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.56 : 472.45 = 296.04 : x
  2. Step 2: Convert to fraction form
    316.56/472.45 = 296.04/x
  3. Step 3: Cross multiply
    316.56x = 472.45 × 296.04
  4. Step 4: Simplify right side
    316.56x = 139,863.36
  5. Step 5: Solve for x
    x = 139,863.36/316.56
  6. Step 6: Final answer
    x = 441.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.