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Finding the Fourth Proportional to 536.25, 739.62 and 370.74

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Solution

The fourth proportional to 536.25, 739.62 and 370.74 is: 511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.25 : 739.62 = 370.74 : x
  2. Step 2: Convert to fraction form
    536.25/739.62 = 370.74/x
  3. Step 3: Cross multiply
    536.25x = 739.62 × 370.74
  4. Step 4: Simplify right side
    536.25x = 274,206.72
  5. Step 5: Solve for x
    x = 274,206.72/536.25
  6. Step 6: Final answer
    x = 511.34

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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.