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Finding the Fourth Proportional to 715.41, 1,073.20 and 228.35

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Solution

The fourth proportional to 715.41, 1,073.20 and 228.35 is: 342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.41 : 1,073.20 = 228.35 : x
  2. Step 2: Convert to fraction form
    715.41/1,073.20 = 228.35/x
  3. Step 3: Cross multiply
    715.41x = 1,073.20 × 228.35
  4. Step 4: Simplify right side
    715.41x = 245,064.65
  5. Step 5: Solve for x
    x = 245,064.65/715.41
  6. Step 6: Final answer
    x = 342.55

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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.