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Finding the Fourth Proportional to 743.62, 1,115.86 and 304.80

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Solution

The fourth proportional to 743.62, 1,115.86 and 304.80 is: 457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.62 : 1,115.86 = 304.80 : x
  2. Step 2: Convert to fraction form
    743.62/1,115.86 = 304.80/x
  3. Step 3: Cross multiply
    743.62x = 1,115.86 × 304.80
  4. Step 4: Simplify right side
    743.62x = 340,114.13
  5. Step 5: Solve for x
    x = 340,114.13/743.62
  6. Step 6: Final answer
    x = 457.38

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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.