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Finding the Fourth Proportional to 536.32, 800.32 and 474.76

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Solution

The fourth proportional to 536.32, 800.32 and 474.76 is: 708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 800.32 = 474.76 : x
  2. Step 2: Convert to fraction form
    536.32/800.32 = 474.76/x
  3. Step 3: Cross multiply
    536.32x = 800.32 × 474.76
  4. Step 4: Simplify right side
    536.32x = 379,959.92
  5. Step 5: Solve for x
    x = 379,959.92/536.32
  6. Step 6: Final answer
    x = 708.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.