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Finding the Fourth Proportional to 316.86, 472.59 and 299.04

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Solution

The fourth proportional to 316.86, 472.59 and 299.04 is: 446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.86 : 472.59 = 299.04 : x
  2. Step 2: Convert to fraction form
    316.86/472.59 = 299.04/x
  3. Step 3: Cross multiply
    316.86x = 472.59 × 299.04
  4. Step 4: Simplify right side
    316.86x = 141,323.31
  5. Step 5: Solve for x
    x = 141,323.31/316.86
  6. Step 6: Final answer
    x = 446.01

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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.