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Finding the Fourth Proportional to 492.76, 742.07 and 444.56

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Solution

The fourth proportional to 492.76, 742.07 and 444.56 is: 669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.76 : 742.07 = 444.56 : x
  2. Step 2: Convert to fraction form
    492.76/742.07 = 444.56/x
  3. Step 3: Cross multiply
    492.76x = 742.07 × 444.56
  4. Step 4: Simplify right side
    492.76x = 329,894.64
  5. Step 5: Solve for x
    x = 329,894.64/492.76
  6. Step 6: Final answer
    x = 669.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.