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Finding the Fourth Proportional to 494.76, 682.32 and 446.16

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Solution

The fourth proportional to 494.76, 682.32 and 446.16 is: 615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.76 : 682.32 = 446.16 : x
  2. Step 2: Convert to fraction form
    494.76/682.32 = 446.16/x
  3. Step 3: Cross multiply
    494.76x = 682.32 × 446.16
  4. Step 4: Simplify right side
    494.76x = 304,423.89
  5. Step 5: Solve for x
    x = 304,423.89/494.76
  6. Step 6: Final answer
    x = 615.30

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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.