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Finding the Fourth Proportional to 356.75, 534.08 and 288.41

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Solution

The fourth proportional to 356.75, 534.08 and 288.41 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.75 : 534.08 = 288.41 : x
  2. Step 2: Convert to fraction form
    356.75/534.08 = 288.41/x
  3. Step 3: Cross multiply
    356.75x = 534.08 × 288.41
  4. Step 4: Simplify right side
    356.75x = 154,032.06
  5. Step 5: Solve for x
    x = 154,032.06/356.75
  6. Step 6: Final answer
    x = 431.76

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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.