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Finding the Fourth Proportional to 317.10, 474.84 and 280.92

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Solution

The fourth proportional to 317.10, 474.84 and 280.92 is: 420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 474.84 = 280.92 : x
  2. Step 2: Convert to fraction form
    317.10/474.84 = 280.92/x
  3. Step 3: Cross multiply
    317.10x = 474.84 × 280.92
  4. Step 4: Simplify right side
    317.10x = 133,392.05
  5. Step 5: Solve for x
    x = 133,392.05/317.10
  6. Step 6: Final answer
    x = 420.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.