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Finding the Fourth Proportional to 313.61, 469.80 and 267.71

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Solution

The fourth proportional to 313.61, 469.80 and 267.71 is: 401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 469.80 = 267.71 : x
  2. Step 2: Convert to fraction form
    313.61/469.80 = 267.71/x
  3. Step 3: Cross multiply
    313.61x = 469.80 × 267.71
  4. Step 4: Simplify right side
    313.61x = 125,767.81
  5. Step 5: Solve for x
    x = 125,767.81/313.61
  6. Step 6: Final answer
    x = 401.04

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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.