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Finding the Fourth Proportional to 434.84, 599.46 and 287.42

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Solution

The fourth proportional to 434.84, 599.46 and 287.42 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 599.46 = 287.42 : x
  2. Step 2: Convert to fraction form
    434.84/599.46 = 287.42/x
  3. Step 3: Cross multiply
    434.84x = 599.46 × 287.42
  4. Step 4: Simplify right side
    434.84x = 172,293.80
  5. Step 5: Solve for x
    x = 172,293.80/434.84
  6. Step 6: Final answer
    x = 396.23

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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.