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Finding the Fourth Proportional to 613.88, 922.80 and 493.46

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Solution

The fourth proportional to 613.88, 922.80 and 493.46 is: 741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.88 : 922.80 = 493.46 : x
  2. Step 2: Convert to fraction form
    613.88/922.80 = 493.46/x
  3. Step 3: Cross multiply
    613.88x = 922.80 × 493.46
  4. Step 4: Simplify right side
    613.88x = 455,364.89
  5. Step 5: Solve for x
    x = 455,364.89/613.88
  6. Step 6: Final answer
    x = 741.78

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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.