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Finding the Fourth Proportional to 395.83, 546.29 and 277.77

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Solution

The fourth proportional to 395.83, 546.29 and 277.77 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.83 : 546.29 = 277.77 : x
  2. Step 2: Convert to fraction form
    395.83/546.29 = 277.77/x
  3. Step 3: Cross multiply
    395.83x = 546.29 × 277.77
  4. Step 4: Simplify right side
    395.83x = 151,742.97
  5. Step 5: Solve for x
    x = 151,742.97/395.83
  6. Step 6: Final answer
    x = 383.35

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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.