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Finding the Fourth Proportional to 533.85, 795.47 and 475.63

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Solution

The fourth proportional to 533.85, 795.47 and 475.63 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.85 : 795.47 = 475.63 : x
  2. Step 2: Convert to fraction form
    533.85/795.47 = 475.63/x
  3. Step 3: Cross multiply
    533.85x = 795.47 × 475.63
  4. Step 4: Simplify right side
    533.85x = 378,344.53
  5. Step 5: Solve for x
    x = 378,344.53/533.85
  6. Step 6: Final answer
    x = 708.71

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1.5x scale

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.