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Finding the Fourth Proportional to 434.64, 600.14 and 287.48

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Solution

The fourth proportional to 434.64, 600.14 and 287.48 is: 396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.64 : 600.14 = 287.48 : x
  2. Step 2: Convert to fraction form
    434.64/600.14 = 287.48/x
  3. Step 3: Cross multiply
    434.64x = 600.14 × 287.48
  4. Step 4: Simplify right side
    434.64x = 172,528.25
  5. Step 5: Solve for x
    x = 172,528.25/434.64
  6. Step 6: Final answer
    x = 396.95

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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.