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Finding the Fourth Proportional to 534.93, 738.42 and 360.37

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Solution

The fourth proportional to 534.93, 738.42 and 360.37 is: 497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.93 : 738.42 = 360.37 : x
  2. Step 2: Convert to fraction form
    534.93/738.42 = 360.37/x
  3. Step 3: Cross multiply
    534.93x = 738.42 × 360.37
  4. Step 4: Simplify right side
    534.93x = 266,104.42
  5. Step 5: Solve for x
    x = 266,104.42/534.93
  6. Step 6: Final answer
    x = 497.46

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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.