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Finding the Fourth Proportional to 600.23, 900.26 and 498.17

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Solution

The fourth proportional to 600.23, 900.26 and 498.17 is: 747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.23 : 900.26 = 498.17 : x
  2. Step 2: Convert to fraction form
    600.23/900.26 = 498.17/x
  3. Step 3: Cross multiply
    600.23x = 900.26 × 498.17
  4. Step 4: Simplify right side
    600.23x = 448,481.89
  5. Step 5: Solve for x
    x = 448,481.89/600.23
  6. Step 6: Final answer
    x = 747.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.