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Finding the Fourth Proportional to 534.42, 798.24 and 473.94

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Solution

The fourth proportional to 534.42, 798.24 and 473.94 is: 707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.42 : 798.24 = 473.94 : x
  2. Step 2: Convert to fraction form
    534.42/798.24 = 473.94/x
  3. Step 3: Cross multiply
    534.42x = 798.24 × 473.94
  4. Step 4: Simplify right side
    534.42x = 378,317.87
  5. Step 5: Solve for x
    x = 378,317.87/534.42
  6. Step 6: Final answer
    x = 707.90

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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.