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Finding the Fourth Proportional to 434.66, 599.86 and 287.04

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Solution

The fourth proportional to 434.66, 599.86 and 287.04 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.66 : 599.86 = 287.04 : x
  2. Step 2: Convert to fraction form
    434.66/599.86 = 287.04/x
  3. Step 3: Cross multiply
    434.66x = 599.86 × 287.04
  4. Step 4: Simplify right side
    434.66x = 172,179.75
  5. Step 5: Solve for x
    x = 172,179.75/434.66
  6. Step 6: Final answer
    x = 396.13

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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.