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Finding the Fourth Proportional to 467.66, 643.44 and 456.74

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Solution

The fourth proportional to 467.66, 643.44 and 456.74 is: 628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.66 : 643.44 = 456.74 : x
  2. Step 2: Convert to fraction form
    467.66/643.44 = 456.74/x
  3. Step 3: Cross multiply
    467.66x = 643.44 × 456.74
  4. Step 4: Simplify right side
    467.66x = 293,884.79
  5. Step 5: Solve for x
    x = 293,884.79/467.66
  6. Step 6: Final answer
    x = 628.42

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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.