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Finding the Fourth Proportional to 598.46, 901.79 and 492.62

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Solution

The fourth proportional to 598.46, 901.79 and 492.62 is: 742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.46 : 901.79 = 492.62 : x
  2. Step 2: Convert to fraction form
    598.46/901.79 = 492.62/x
  3. Step 3: Cross multiply
    598.46x = 901.79 × 492.62
  4. Step 4: Simplify right side
    598.46x = 444,239.79
  5. Step 5: Solve for x
    x = 444,239.79/598.46
  6. Step 6: Final answer
    x = 742.30

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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.