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Finding the Fourth Proportional to 743.19, 1,114.80 and 332.22

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Solution

The fourth proportional to 743.19, 1,114.80 and 332.22 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.19 : 1,114.80 = 332.22 : x
  2. Step 2: Convert to fraction form
    743.19/1,114.80 = 332.22/x
  3. Step 3: Cross multiply
    743.19x = 1,114.80 × 332.22
  4. Step 4: Simplify right side
    743.19x = 370,358.86
  5. Step 5: Solve for x
    x = 370,358.86/743.19
  6. Step 6: Final answer
    x = 498.34

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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.