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Finding the Fourth Proportional to 535.14, 799.34 and 474.66

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Solution

The fourth proportional to 535.14, 799.34 and 474.66 is: 709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 799.34 = 474.66 : x
  2. Step 2: Convert to fraction form
    535.14/799.34 = 474.66/x
  3. Step 3: Cross multiply
    535.14x = 799.34 × 474.66
  4. Step 4: Simplify right side
    535.14x = 379,412.35
  5. Step 5: Solve for x
    x = 379,412.35/535.14
  6. Step 6: Final answer
    x = 709.00

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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.