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Finding the Fourth Proportional to 318.06, 474.29 and 292.82

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Solution

The fourth proportional to 318.06, 474.29 and 292.82 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.06 : 474.29 = 292.82 : x
  2. Step 2: Convert to fraction form
    318.06/474.29 = 292.82/x
  3. Step 3: Cross multiply
    318.06x = 474.29 × 292.82
  4. Step 4: Simplify right side
    318.06x = 138,878.86
  5. Step 5: Solve for x
    x = 138,878.86/318.06
  6. Step 6: Final answer
    x = 436.64

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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.