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Finding the Fourth Proportional to 487.48, 730.40 and 342.94

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Solution

The fourth proportional to 487.48, 730.40 and 342.94 is: 513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.48 : 730.40 = 342.94 : x
  2. Step 2: Convert to fraction form
    487.48/730.40 = 342.94/x
  3. Step 3: Cross multiply
    487.48x = 730.40 × 342.94
  4. Step 4: Simplify right side
    487.48x = 250,483.38
  5. Step 5: Solve for x
    x = 250,483.38/487.48
  6. Step 6: Final answer
    x = 513.83

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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.