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Finding the Fourth Proportional to 315.12, 471.84 and 278.92

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Solution

The fourth proportional to 315.12, 471.84 and 278.92 is: 417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 471.84 = 278.92 : x
  2. Step 2: Convert to fraction form
    315.12/471.84 = 278.92/x
  3. Step 3: Cross multiply
    315.12x = 471.84 × 278.92
  4. Step 4: Simplify right side
    315.12x = 131,605.61
  5. Step 5: Solve for x
    x = 131,605.61/315.12
  6. Step 6: Final answer
    x = 417.64

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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.