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Finding the Fourth Proportional to 382.98, 528.06 and 277.86

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Solution

The fourth proportional to 382.98, 528.06 and 277.86 is: 383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.98 : 528.06 = 277.86 : x
  2. Step 2: Convert to fraction form
    382.98/528.06 = 277.86/x
  3. Step 3: Cross multiply
    382.98x = 528.06 × 277.86
  4. Step 4: Simplify right side
    382.98x = 146,726.75
  5. Step 5: Solve for x
    x = 146,726.75/382.98
  6. Step 6: Final answer
    x = 383.12

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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.