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Finding the Fourth Proportional to 434.88, 599.72 and 287.24

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Solution

The fourth proportional to 434.88, 599.72 and 287.24 is: 396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.88 : 599.72 = 287.24 : x
  2. Step 2: Convert to fraction form
    434.88/599.72 = 287.24/x
  3. Step 3: Cross multiply
    434.88x = 599.72 × 287.24
  4. Step 4: Simplify right side
    434.88x = 172,259.14
  5. Step 5: Solve for x
    x = 172,259.14/434.88
  6. Step 6: Final answer
    x = 396.11

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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.