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Finding the Fourth Proportional to 356.41, 535.16 and 311.05

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Solution

The fourth proportional to 356.41, 535.16 and 311.05 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.41 : 535.16 = 311.05 : x
  2. Step 2: Convert to fraction form
    356.41/535.16 = 311.05/x
  3. Step 3: Cross multiply
    356.41x = 535.16 × 311.05
  4. Step 4: Simplify right side
    356.41x = 166,461.52
  5. Step 5: Solve for x
    x = 166,461.52/356.41
  6. Step 6: Final answer
    x = 467.05

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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.