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Finding the Fourth Proportional to 356.95, 534.73 and 234.84

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Solution

The fourth proportional to 356.95, 534.73 and 234.84 is: 351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.95 : 534.73 = 234.84 : x
  2. Step 2: Convert to fraction form
    356.95/534.73 = 234.84/x
  3. Step 3: Cross multiply
    356.95x = 534.73 × 234.84
  4. Step 4: Simplify right side
    356.95x = 125,575.99
  5. Step 5: Solve for x
    x = 125,575.99/356.95
  6. Step 6: Final answer
    x = 351.80

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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.