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Finding the Fourth Proportional to 387.82, 535 and 360.03

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Solution

The fourth proportional to 387.82, 535 and 360.03 is: 496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.82 : 535 = 360.03 : x
  2. Step 2: Convert to fraction form
    387.82/535 = 360.03/x
  3. Step 3: Cross multiply
    387.82x = 535 × 360.03
  4. Step 4: Simplify right side
    387.82x = 192,616.05
  5. Step 5: Solve for x
    x = 192,616.05/387.82
  6. Step 6: Final answer
    x = 496.66

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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.