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Finding the Fourth Proportional to 680.35, 1,019.91 and 315.04

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Solution

The fourth proportional to 680.35, 1,019.91 and 315.04 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.35 : 1,019.91 = 315.04 : x
  2. Step 2: Convert to fraction form
    680.35/1,019.91 = 315.04/x
  3. Step 3: Cross multiply
    680.35x = 1,019.91 × 315.04
  4. Step 4: Simplify right side
    680.35x = 321,312.45
  5. Step 5: Solve for x
    x = 321,312.45/680.35
  6. Step 6: Final answer
    x = 472.28

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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.