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Finding the Fourth Proportional to 434.91, 600.27 and 277.51

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Solution

The fourth proportional to 434.91, 600.27 and 277.51 is: 383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.91 : 600.27 = 277.51 : x
  2. Step 2: Convert to fraction form
    434.91/600.27 = 277.51/x
  3. Step 3: Cross multiply
    434.91x = 600.27 × 277.51
  4. Step 4: Simplify right side
    434.91x = 166,579.43
  5. Step 5: Solve for x
    x = 166,579.43/434.91
  6. Step 6: Final answer
    x = 383.02

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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.