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Finding the Fourth Proportional to 435.43, 600.69 and 260.74

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Solution

The fourth proportional to 435.43, 600.69 and 260.74 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.43 : 600.69 = 260.74 : x
  2. Step 2: Convert to fraction form
    435.43/600.69 = 260.74/x
  3. Step 3: Cross multiply
    435.43x = 600.69 × 260.74
  4. Step 4: Simplify right side
    435.43x = 156,623.91
  5. Step 5: Solve for x
    x = 156,623.91/435.43
  6. Step 6: Final answer
    x = 359.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.