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Finding the Fourth Proportional to 435.87, 600.84 and 317.61

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Solution

The fourth proportional to 435.87, 600.84 and 317.61 is: 437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.87 : 600.84 = 317.61 : x
  2. Step 2: Convert to fraction form
    435.87/600.84 = 317.61/x
  3. Step 3: Cross multiply
    435.87x = 600.84 × 317.61
  4. Step 4: Simplify right side
    435.87x = 190,832.79
  5. Step 5: Solve for x
    x = 190,832.79/435.87
  6. Step 6: Final answer
    x = 437.82

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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.