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Finding the Fourth Proportional to 360.01, 537.44 and 313.88

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Solution

The fourth proportional to 360.01, 537.44 and 313.88 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.01 : 537.44 = 313.88 : x
  2. Step 2: Convert to fraction form
    360.01/537.44 = 313.88/x
  3. Step 3: Cross multiply
    360.01x = 537.44 × 313.88
  4. Step 4: Simplify right side
    360.01x = 168,687.41
  5. Step 5: Solve for x
    x = 168,687.41/360.01
  6. Step 6: Final answer
    x = 468.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.