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Finding the Fourth Proportional to 359.78, 537.20 and 294.72

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Solution

The fourth proportional to 359.78, 537.20 and 294.72 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.78 : 537.20 = 294.72 : x
  2. Step 2: Convert to fraction form
    359.78/537.20 = 294.72/x
  3. Step 3: Cross multiply
    359.78x = 537.20 × 294.72
  4. Step 4: Simplify right side
    359.78x = 158,323.58
  5. Step 5: Solve for x
    x = 158,323.58/359.78
  6. Step 6: Final answer
    x = 440.06

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