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Finding the Fourth Proportional to 360.02, 496.45 and 297.65

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Solution

The fourth proportional to 360.02, 496.45 and 297.65 is: 410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.02 : 496.45 = 297.65 : x
  2. Step 2: Convert to fraction form
    360.02/496.45 = 297.65/x
  3. Step 3: Cross multiply
    360.02x = 496.45 × 297.65
  4. Step 4: Simplify right side
    360.02x = 147,768.34
  5. Step 5: Solve for x
    x = 147,768.34/360.02
  6. Step 6: Final answer
    x = 410.44

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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.