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Finding the Fourth Proportional to 536.80, 803.58 and 485.46

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Solution

The fourth proportional to 536.80, 803.58 and 485.46 is: 726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 803.58 = 485.46 : x
  2. Step 2: Convert to fraction form
    536.80/803.58 = 485.46/x
  3. Step 3: Cross multiply
    536.80x = 803.58 × 485.46
  4. Step 4: Simplify right side
    536.80x = 390,106.68
  5. Step 5: Solve for x
    x = 390,106.68/536.80
  6. Step 6: Final answer
    x = 726.73

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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.