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Finding the Fourth Proportional to 487.42, 672.94 and 347.82

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Solution

The fourth proportional to 487.42, 672.94 and 347.82 is: 480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.42 : 672.94 = 347.82 : x
  2. Step 2: Convert to fraction form
    487.42/672.94 = 347.82/x
  3. Step 3: Cross multiply
    487.42x = 672.94 × 347.82
  4. Step 4: Simplify right side
    487.42x = 234,061.99
  5. Step 5: Solve for x
    x = 234,061.99/487.42
  6. Step 6: Final answer
    x = 480.21

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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.