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Finding the Fourth Proportional to 473.72, 711 and 242.76

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Solution

The fourth proportional to 473.72, 711 and 242.76 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 711 = 242.76 : x
  2. Step 2: Convert to fraction form
    473.72/711 = 242.76/x
  3. Step 3: Cross multiply
    473.72x = 711 × 242.76
  4. Step 4: Simplify right side
    473.72x = 172,602.36
  5. Step 5: Solve for x
    x = 172,602.36/473.72
  6. Step 6: Final answer
    x = 364.36

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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.