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Finding the Fourth Proportional to 536.58, 742.23 and 501.75

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Solution

The fourth proportional to 536.58, 742.23 and 501.75 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 742.23 = 501.75 : x
  2. Step 2: Convert to fraction form
    536.58/742.23 = 501.75/x
  3. Step 3: Cross multiply
    536.58x = 742.23 × 501.75
  4. Step 4: Simplify right side
    536.58x = 372,413.90
  5. Step 5: Solve for x
    x = 372,413.90/536.58
  6. Step 6: Final answer
    x = 694.05

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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.