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Finding the Fourth Proportional to 474.07, 711 and 181.47

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Solution

The fourth proportional to 474.07, 711 and 181.47 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.07 : 711 = 181.47 : x
  2. Step 2: Convert to fraction form
    474.07/711 = 181.47/x
  3. Step 3: Cross multiply
    474.07x = 711 × 181.47
  4. Step 4: Simplify right side
    474.07x = 129,025.17
  5. Step 5: Solve for x
    x = 129,025.17/474.07
  6. Step 6: Final answer
    x = 272.16

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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.