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Finding the Fourth Proportional to 473.59, 709.80 and 242.29

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Solution

The fourth proportional to 473.59, 709.80 and 242.29 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.59 : 709.80 = 242.29 : x
  2. Step 2: Convert to fraction form
    473.59/709.80 = 242.29/x
  3. Step 3: Cross multiply
    473.59x = 709.80 × 242.29
  4. Step 4: Simplify right side
    473.59x = 171,977.44
  5. Step 5: Solve for x
    x = 171,977.44/473.59
  6. Step 6: Final answer
    x = 363.14

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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.