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Finding the Fourth Proportional to 536.76, 805.80 and 498.48

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Solution

The fourth proportional to 536.76, 805.80 and 498.48 is: 748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 805.80 = 498.48 : x
  2. Step 2: Convert to fraction form
    536.76/805.80 = 498.48/x
  3. Step 3: Cross multiply
    536.76x = 805.80 × 498.48
  4. Step 4: Simplify right side
    536.76x = 401,675.18
  5. Step 5: Solve for x
    x = 401,675.18/536.76
  6. Step 6: Final answer
    x = 748.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.