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Finding the Fourth Proportional to 604.24, 902.24 and 496.24

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Solution

The fourth proportional to 604.24, 902.24 and 496.24 is: 740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 902.24 = 496.24 : x
  2. Step 2: Convert to fraction form
    604.24/902.24 = 496.24/x
  3. Step 3: Cross multiply
    604.24x = 902.24 × 496.24
  4. Step 4: Simplify right side
    604.24x = 447,727.58
  5. Step 5: Solve for x
    x = 447,727.58/604.24
  6. Step 6: Final answer
    x = 740.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.