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Finding the Fourth Proportional to 533.71, 795.57 and 474.85

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Solution

The fourth proportional to 533.71, 795.57 and 474.85 is: 707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 795.57 = 474.85 : x
  2. Step 2: Convert to fraction form
    533.71/795.57 = 474.85/x
  3. Step 3: Cross multiply
    533.71x = 795.57 × 474.85
  4. Step 4: Simplify right side
    533.71x = 377,775.63
  5. Step 5: Solve for x
    x = 377,775.63/533.71
  6. Step 6: Final answer
    x = 707.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.