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Finding the Fourth Proportional to 473.08, 709.58 and 180.63

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Solution

The fourth proportional to 473.08, 709.58 and 180.63 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.08 : 709.58 = 180.63 : x
  2. Step 2: Convert to fraction form
    473.08/709.58 = 180.63/x
  3. Step 3: Cross multiply
    473.08x = 709.58 × 180.63
  4. Step 4: Simplify right side
    473.08x = 128,169.01
  5. Step 5: Solve for x
    x = 128,169.01/473.08
  6. Step 6: Final answer
    x = 270.92

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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.