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Finding the Fourth Proportional to 467.04, 644.64 and 311.52

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Solution

The fourth proportional to 467.04, 644.64 and 311.52 is: 429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 644.64 = 311.52 : x
  2. Step 2: Convert to fraction form
    467.04/644.64 = 311.52/x
  3. Step 3: Cross multiply
    467.04x = 644.64 × 311.52
  4. Step 4: Simplify right side
    467.04x = 200,818.25
  5. Step 5: Solve for x
    x = 200,818.25/467.04
  6. Step 6: Final answer
    x = 429.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.