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Finding the Fourth Proportional to 715.48, 1,073.24 and 228.60

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Solution

The fourth proportional to 715.48, 1,073.24 and 228.60 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 1,073.24 = 228.60 : x
  2. Step 2: Convert to fraction form
    715.48/1,073.24 = 228.60/x
  3. Step 3: Cross multiply
    715.48x = 1,073.24 × 228.60
  4. Step 4: Simplify right side
    715.48x = 245,342.66
  5. Step 5: Solve for x
    x = 245,342.66/715.48
  6. Step 6: Final answer
    x = 342.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.