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Finding the Fourth Proportional to 317.46, 474.24 and 230.04

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Solution

The fourth proportional to 317.46, 474.24 and 230.04 is: 343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 474.24 = 230.04 : x
  2. Step 2: Convert to fraction form
    317.46/474.24 = 230.04/x
  3. Step 3: Cross multiply
    317.46x = 474.24 × 230.04
  4. Step 4: Simplify right side
    317.46x = 109,094.17
  5. Step 5: Solve for x
    x = 109,094.17/317.46
  6. Step 6: Final answer
    x = 343.65

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Why These Related Problems?

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