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Finding the Fourth Proportional to 435.32, 600.42 and 277.79

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Solution

The fourth proportional to 435.32, 600.42 and 277.79 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.32 : 600.42 = 277.79 : x
  2. Step 2: Convert to fraction form
    435.32/600.42 = 277.79/x
  3. Step 3: Cross multiply
    435.32x = 600.42 × 277.79
  4. Step 4: Simplify right side
    435.32x = 166,787.67
  5. Step 5: Solve for x
    x = 166,787.67/435.32
  6. Step 6: Final answer
    x = 383.14

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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.