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Finding the Fourth Proportional to 494.10, 681.30 and 420.66

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Solution

The fourth proportional to 494.10, 681.30 and 420.66 is: 580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.10 : 681.30 = 420.66 : x
  2. Step 2: Convert to fraction form
    494.10/681.30 = 420.66/x
  3. Step 3: Cross multiply
    494.10x = 681.30 × 420.66
  4. Step 4: Simplify right side
    494.10x = 286,595.66
  5. Step 5: Solve for x
    x = 286,595.66/494.10
  6. Step 6: Final answer
    x = 580.04

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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.