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Finding the Fourth Proportional to 467.13, 701.16 and 381.45

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Solution

The fourth proportional to 467.13, 701.16 and 381.45 is: 572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.13 : 701.16 = 381.45 : x
  2. Step 2: Convert to fraction form
    467.13/701.16 = 381.45/x
  3. Step 3: Cross multiply
    467.13x = 701.16 × 381.45
  4. Step 4: Simplify right side
    467.13x = 267,457.48
  5. Step 5: Solve for x
    x = 267,457.48/467.13
  6. Step 6: Final answer
    x = 572.55

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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.