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Finding the Fourth Proportional to 317.64, 474.24 and 281.28

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Solution

The fourth proportional to 317.64, 474.24 and 281.28 is: 419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.64 : 474.24 = 281.28 : x
  2. Step 2: Convert to fraction form
    317.64/474.24 = 281.28/x
  3. Step 3: Cross multiply
    317.64x = 474.24 × 281.28
  4. Step 4: Simplify right side
    317.64x = 133,394.23
  5. Step 5: Solve for x
    x = 133,394.23/317.64
  6. Step 6: Final answer
    x = 419.95

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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.