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Finding the Fourth Proportional to 493.72, 740.78 and 288.38

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Solution

The fourth proportional to 493.72, 740.78 and 288.38 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 740.78 = 288.38 : x
  2. Step 2: Convert to fraction form
    493.72/740.78 = 288.38/x
  3. Step 3: Cross multiply
    493.72x = 740.78 × 288.38
  4. Step 4: Simplify right side
    493.72x = 213,626.14
  5. Step 5: Solve for x
    x = 213,626.14/493.72
  6. Step 6: Final answer
    x = 432.69

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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.