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Finding the Fourth Proportional to 457.29, 631.08 and 277.84

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Solution

The fourth proportional to 457.29, 631.08 and 277.84 is: 383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.29 : 631.08 = 277.84 : x
  2. Step 2: Convert to fraction form
    457.29/631.08 = 277.84/x
  3. Step 3: Cross multiply
    457.29x = 631.08 × 277.84
  4. Step 4: Simplify right side
    457.29x = 175,339.27
  5. Step 5: Solve for x
    x = 175,339.27/457.29
  6. Step 6: Final answer
    x = 383.43

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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.