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Finding the Fourth Proportional to 463.87, 695.99 and 360.91

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Solution

The fourth proportional to 463.87, 695.99 and 360.91 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 695.99 = 360.91 : x
  2. Step 2: Convert to fraction form
    463.87/695.99 = 360.91/x
  3. Step 3: Cross multiply
    463.87x = 695.99 × 360.91
  4. Step 4: Simplify right side
    463.87x = 251,189.75
  5. Step 5: Solve for x
    x = 251,189.75/463.87
  6. Step 6: Final answer
    x = 541.51

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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.