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Finding the Fourth Proportional to 486, 725.76 and 394.47

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Solution

The fourth proportional to 486, 725.76 and 394.47 is: 589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 725.76 = 394.47 : x
  2. Step 2: Convert to fraction form
    486/725.76 = 394.47/x
  3. Step 3: Cross multiply
    486x = 725.76 × 394.47
  4. Step 4: Simplify right side
    486x = 286,290.55
  5. Step 5: Solve for x
    x = 286,290.55/486
  6. Step 6: Final answer
    x = 589.08

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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.