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Finding the Fourth Proportional to 457.82, 631.81 and 283.26

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Solution

The fourth proportional to 457.82, 631.81 and 283.26 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 631.81 = 283.26 : x
  2. Step 2: Convert to fraction form
    457.82/631.81 = 283.26/x
  3. Step 3: Cross multiply
    457.82x = 631.81 × 283.26
  4. Step 4: Simplify right side
    457.82x = 178,966.50
  5. Step 5: Solve for x
    x = 178,966.50/457.82
  6. Step 6: Final answer
    x = 390.91

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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.