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Finding the Fourth Proportional to 483.14, 666.28 and 424.82

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Solution

The fourth proportional to 483.14, 666.28 and 424.82 is: 585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.14 : 666.28 = 424.82 : x
  2. Step 2: Convert to fraction form
    483.14/666.28 = 424.82/x
  3. Step 3: Cross multiply
    483.14x = 666.28 × 424.82
  4. Step 4: Simplify right side
    483.14x = 283,049.07
  5. Step 5: Solve for x
    x = 283,049.07/483.14
  6. Step 6: Final answer
    x = 585.85

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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.