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Finding the Fourth Proportional to 355.41, 533.66 and 310.05

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Solution

The fourth proportional to 355.41, 533.66 and 310.05 is: 465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.41 : 533.66 = 310.05 : x
  2. Step 2: Convert to fraction form
    355.41/533.66 = 310.05/x
  3. Step 3: Cross multiply
    355.41x = 533.66 × 310.05
  4. Step 4: Simplify right side
    355.41x = 165,459.73
  5. Step 5: Solve for x
    x = 165,459.73/355.41
  6. Step 6: Final answer
    x = 465.55

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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.