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Finding the Fourth Proportional to 717.65, 1,076.88 and 306.74

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Solution

The fourth proportional to 717.65, 1,076.88 and 306.74 is: 460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.65 : 1,076.88 = 306.74 : x
  2. Step 2: Convert to fraction form
    717.65/1,076.88 = 306.74/x
  3. Step 3: Cross multiply
    717.65x = 1,076.88 × 306.74
  4. Step 4: Simplify right side
    717.65x = 330,316.79
  5. Step 5: Solve for x
    x = 330,316.79/717.65
  6. Step 6: Final answer
    x = 460.28

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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.