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Finding the Fourth Proportional to 486.47, 671.42 and 289.98

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Solution

The fourth proportional to 486.47, 671.42 and 289.98 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.47 : 671.42 = 289.98 : x
  2. Step 2: Convert to fraction form
    486.47/671.42 = 289.98/x
  3. Step 3: Cross multiply
    486.47x = 671.42 × 289.98
  4. Step 4: Simplify right side
    486.47x = 194,699.10
  5. Step 5: Solve for x
    x = 194,699.10/486.47
  6. Step 6: Final answer
    x = 400.23

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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.