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Finding the Fourth Proportional to 360.49, 537.88 and 325.93

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Solution

The fourth proportional to 360.49, 537.88 and 325.93 is: 486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.49 : 537.88 = 325.93 : x
  2. Step 2: Convert to fraction form
    360.49/537.88 = 325.93/x
  3. Step 3: Cross multiply
    360.49x = 537.88 × 325.93
  4. Step 4: Simplify right side
    360.49x = 175,311.23
  5. Step 5: Solve for x
    x = 175,311.23/360.49
  6. Step 6: Final answer
    x = 486.31

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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.