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Finding the Fourth Proportional to 434.50, 600.10 and 287.78

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Solution

The fourth proportional to 434.50, 600.10 and 287.78 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 600.10 = 287.78 : x
  2. Step 2: Convert to fraction form
    434.50/600.10 = 287.78/x
  3. Step 3: Cross multiply
    434.50x = 600.10 × 287.78
  4. Step 4: Simplify right side
    434.50x = 172,696.78
  5. Step 5: Solve for x
    x = 172,696.78/434.50
  6. Step 6: Final answer
    x = 397.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.