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Finding the Fourth Proportional to 381.68, 569.92 and 316.88

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Solution

The fourth proportional to 381.68, 569.92 and 316.88 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 569.92 = 316.88 : x
  2. Step 2: Convert to fraction form
    381.68/569.92 = 316.88/x
  3. Step 3: Cross multiply
    381.68x = 569.92 × 316.88
  4. Step 4: Simplify right side
    381.68x = 180,596.25
  5. Step 5: Solve for x
    x = 180,596.25/381.68
  6. Step 6: Final answer
    x = 473.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.