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Finding the Fourth Proportional to 396.70, 595.05 and 260.61

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Solution

The fourth proportional to 396.70, 595.05 and 260.61 is: 390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.70 : 595.05 = 260.61 : x
  2. Step 2: Convert to fraction form
    396.70/595.05 = 260.61/x
  3. Step 3: Cross multiply
    396.70x = 595.05 × 260.61
  4. Step 4: Simplify right side
    396.70x = 155,075.98
  5. Step 5: Solve for x
    x = 155,075.98/396.70
  6. Step 6: Final answer
    x = 390.92

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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.