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Finding the Fourth Proportional to 535.22, 798.68 and 473.71

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Solution

The fourth proportional to 535.22, 798.68 and 473.71 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 798.68 = 473.71 : x
  2. Step 2: Convert to fraction form
    535.22/798.68 = 473.71/x
  3. Step 3: Cross multiply
    535.22x = 798.68 × 473.71
  4. Step 4: Simplify right side
    535.22x = 378,338.34
  5. Step 5: Solve for x
    x = 378,338.34/535.22
  6. Step 6: Final answer
    x = 706.89

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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.