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Finding the Fourth Proportional to 434.60, 599.46 and 287.24

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Solution

The fourth proportional to 434.60, 599.46 and 287.24 is: 396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.60 : 599.46 = 287.24 : x
  2. Step 2: Convert to fraction form
    434.60/599.46 = 287.24/x
  3. Step 3: Cross multiply
    434.60x = 599.46 × 287.24
  4. Step 4: Simplify right side
    434.60x = 172,188.89
  5. Step 5: Solve for x
    x = 172,188.89/434.60
  6. Step 6: Final answer
    x = 396.20

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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.