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Finding the Fourth Proportional to 360.87, 497.55 and 262.59

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Solution

The fourth proportional to 360.87, 497.55 and 262.59 is: 362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.87 : 497.55 = 262.59 : x
  2. Step 2: Convert to fraction form
    360.87/497.55 = 262.59/x
  3. Step 3: Cross multiply
    360.87x = 497.55 × 262.59
  4. Step 4: Simplify right side
    360.87x = 130,651.65
  5. Step 5: Solve for x
    x = 130,651.65/360.87
  6. Step 6: Final answer
    x = 362.05

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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.