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Finding the Fourth Proportional to 435.84, 601.20 and 377.52

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Solution

The fourth proportional to 435.84, 601.20 and 377.52 is: 520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 601.20 = 377.52 : x
  2. Step 2: Convert to fraction form
    435.84/601.20 = 377.52/x
  3. Step 3: Cross multiply
    435.84x = 601.20 × 377.52
  4. Step 4: Simplify right side
    435.84x = 226,965.02
  5. Step 5: Solve for x
    x = 226,965.02/435.84
  6. Step 6: Final answer
    x = 520.75

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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.