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Finding the Fourth Proportional to 315.18, 471.93 and 253.61

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Solution

The fourth proportional to 315.18, 471.93 and 253.61 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.18 : 471.93 = 253.61 : x
  2. Step 2: Convert to fraction form
    315.18/471.93 = 253.61/x
  3. Step 3: Cross multiply
    315.18x = 471.93 × 253.61
  4. Step 4: Simplify right side
    315.18x = 119,686.17
  5. Step 5: Solve for x
    x = 119,686.17/315.18
  6. Step 6: Final answer
    x = 379.74

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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.