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Finding the Fourth Proportional to 533.93, 801.24 and 209.30

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Solution

The fourth proportional to 533.93, 801.24 and 209.30 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.93 : 801.24 = 209.30 : x
  2. Step 2: Convert to fraction form
    533.93/801.24 = 209.30/x
  3. Step 3: Cross multiply
    533.93x = 801.24 × 209.30
  4. Step 4: Simplify right side
    533.93x = 167,695.53
  5. Step 5: Solve for x
    x = 167,695.53/533.93
  6. Step 6: Final answer
    x = 314.08

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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.