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Finding the Fourth Proportional to 380.98, 525.72 and 314.02

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Solution

The fourth proportional to 380.98, 525.72 and 314.02 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.98 : 525.72 = 314.02 : x
  2. Step 2: Convert to fraction form
    380.98/525.72 = 314.02/x
  3. Step 3: Cross multiply
    380.98x = 525.72 × 314.02
  4. Step 4: Simplify right side
    380.98x = 165,086.59
  5. Step 5: Solve for x
    x = 165,086.59/380.98
  6. Step 6: Final answer
    x = 433.32

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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.