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Finding the Fourth Proportional to 472.94, 709.47 and 199.16

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Solution

The fourth proportional to 472.94, 709.47 and 199.16 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.94 : 709.47 = 199.16 : x
  2. Step 2: Convert to fraction form
    472.94/709.47 = 199.16/x
  3. Step 3: Cross multiply
    472.94x = 709.47 × 199.16
  4. Step 4: Simplify right side
    472.94x = 141,298.05
  5. Step 5: Solve for x
    x = 141,298.05/472.94
  6. Step 6: Final answer
    x = 298.77

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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.