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Finding the Fourth Proportional to 355.35, 533.01 and 210.75

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Solution

The fourth proportional to 355.35, 533.01 and 210.75 is: 316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.35 : 533.01 = 210.75 : x
  2. Step 2: Convert to fraction form
    355.35/533.01 = 210.75/x
  3. Step 3: Cross multiply
    355.35x = 533.01 × 210.75
  4. Step 4: Simplify right side
    355.35x = 112,331.86
  5. Step 5: Solve for x
    x = 112,331.86/355.35
  6. Step 6: Final answer
    x = 316.12

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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.