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Finding the Fourth Proportional to 472.42, 707.72 and 289.36

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Solution

The fourth proportional to 472.42, 707.72 and 289.36 is: 433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.42 : 707.72 = 289.36 : x
  2. Step 2: Convert to fraction form
    472.42/707.72 = 289.36/x
  3. Step 3: Cross multiply
    472.42x = 707.72 × 289.36
  4. Step 4: Simplify right side
    472.42x = 204,785.86
  5. Step 5: Solve for x
    x = 204,785.86/472.42
  6. Step 6: Final answer
    x = 433.48

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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.