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Finding the Fourth Proportional to 536.24, 739.05 and 370.46

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Solution

The fourth proportional to 536.24, 739.05 and 370.46 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 739.05 = 370.46 : x
  2. Step 2: Convert to fraction form
    536.24/739.05 = 370.46/x
  3. Step 3: Cross multiply
    536.24x = 739.05 × 370.46
  4. Step 4: Simplify right side
    536.24x = 273,788.46
  5. Step 5: Solve for x
    x = 273,788.46/536.24
  6. Step 6: Final answer
    x = 510.57

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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.