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Finding the Fourth Proportional to 486.32, 728.67 and 341.78

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Solution

The fourth proportional to 486.32, 728.67 and 341.78 is: 512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 728.67 = 341.78 : x
  2. Step 2: Convert to fraction form
    486.32/728.67 = 341.78/x
  3. Step 3: Cross multiply
    486.32x = 728.67 × 341.78
  4. Step 4: Simplify right side
    486.32x = 249,042.21
  5. Step 5: Solve for x
    x = 249,042.21/486.32
  6. Step 6: Final answer
    x = 512.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.