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Finding the Fourth Proportional to 473.91, 709.84 and 253.83

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Solution

The fourth proportional to 473.91, 709.84 and 253.83 is: 380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 709.84 = 253.83 : x
  2. Step 2: Convert to fraction form
    473.91/709.84 = 253.83/x
  3. Step 3: Cross multiply
    473.91x = 709.84 × 253.83
  4. Step 4: Simplify right side
    473.91x = 180,178.69
  5. Step 5: Solve for x
    x = 180,178.69/473.91
  6. Step 6: Final answer
    x = 380.20

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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.