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Finding the Fourth Proportional to 533.07, 794.96 and 474.08

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Solution

The fourth proportional to 533.07, 794.96 and 474.08 is: 706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.07 : 794.96 = 474.08 : x
  2. Step 2: Convert to fraction form
    533.07/794.96 = 474.08/x
  3. Step 3: Cross multiply
    533.07x = 794.96 × 474.08
  4. Step 4: Simplify right side
    533.07x = 376,868.29
  5. Step 5: Solve for x
    x = 376,868.29/533.07
  6. Step 6: Final answer
    x = 706.98

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