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Finding the Fourth Proportional to 356.77, 534.79 and 274.26

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Solution

The fourth proportional to 356.77, 534.79 and 274.26 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.77 : 534.79 = 274.26 : x
  2. Step 2: Convert to fraction form
    356.77/534.79 = 274.26/x
  3. Step 3: Cross multiply
    356.77x = 534.79 × 274.26
  4. Step 4: Simplify right side
    356.77x = 146,671.51
  5. Step 5: Solve for x
    x = 146,671.51/356.77
  6. Step 6: Final answer
    x = 411.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.