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Finding the Fourth Proportional to 264.95, 397.40 and 72.57

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Solution

The fourth proportional to 264.95, 397.40 and 72.57 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.95 : 397.40 = 72.57 : x
  2. Step 2: Convert to fraction form
    264.95/397.40 = 72.57/x
  3. Step 3: Cross multiply
    264.95x = 397.40 × 72.57
  4. Step 4: Simplify right side
    264.95x = 28,839.32
  5. Step 5: Solve for x
    x = 28,839.32/264.95
  6. Step 6: Final answer
    x = 108.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.