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Finding the Fourth Proportional to 494.71, 740.29 and 364.40

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Solution

The fourth proportional to 494.71, 740.29 and 364.40 is: 545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.71 : 740.29 = 364.40 : x
  2. Step 2: Convert to fraction form
    494.71/740.29 = 364.40/x
  3. Step 3: Cross multiply
    494.71x = 740.29 × 364.40
  4. Step 4: Simplify right side
    494.71x = 269,760.52
  5. Step 5: Solve for x
    x = 269,760.52/494.71
  6. Step 6: Final answer
    x = 545.29

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