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Finding the Fourth Proportional to 435.08, 600.10 and 287.64

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Solution

The fourth proportional to 435.08, 600.10 and 287.64 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.08 : 600.10 = 287.64 : x
  2. Step 2: Convert to fraction form
    435.08/600.10 = 287.64/x
  3. Step 3: Cross multiply
    435.08x = 600.10 × 287.64
  4. Step 4: Simplify right side
    435.08x = 172,612.76
  5. Step 5: Solve for x
    x = 172,612.76/435.08
  6. Step 6: Final answer
    x = 396.74

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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.