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Finding the Fourth Proportional to 486.32, 671.16 and 309.20

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Solution

The fourth proportional to 486.32, 671.16 and 309.20 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 671.16 = 309.20 : x
  2. Step 2: Convert to fraction form
    486.32/671.16 = 309.20/x
  3. Step 3: Cross multiply
    486.32x = 671.16 × 309.20
  4. Step 4: Simplify right side
    486.32x = 207,522.67
  5. Step 5: Solve for x
    x = 207,522.67/486.32
  6. Step 6: Final answer
    x = 426.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.