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Finding the Fourth Proportional to 347.52, 518.76 and 289.20

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Solution

The fourth proportional to 347.52, 518.76 and 289.20 is: 431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 518.76 = 289.20 : x
  2. Step 2: Convert to fraction form
    347.52/518.76 = 289.20/x
  3. Step 3: Cross multiply
    347.52x = 518.76 × 289.20
  4. Step 4: Simplify right side
    347.52x = 150,025.39
  5. Step 5: Solve for x
    x = 150,025.39/347.52
  6. Step 6: Final answer
    x = 431.70

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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.