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Finding the Fourth Proportional to 318.16, 474.50 and 275.12

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Solution

The fourth proportional to 318.16, 474.50 and 275.12 is: 410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 474.50 = 275.12 : x
  2. Step 2: Convert to fraction form
    318.16/474.50 = 275.12/x
  3. Step 3: Cross multiply
    318.16x = 474.50 × 275.12
  4. Step 4: Simplify right side
    318.16x = 130,544.44
  5. Step 5: Solve for x
    x = 130,544.44/318.16
  6. Step 6: Final answer
    x = 410.31

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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.