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Finding the Fourth Proportional to 533.04, 795.82 and 429.92

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Solution

The fourth proportional to 533.04, 795.82 and 429.92 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.04 : 795.82 = 429.92 : x
  2. Step 2: Convert to fraction form
    533.04/795.82 = 429.92/x
  3. Step 3: Cross multiply
    533.04x = 795.82 × 429.92
  4. Step 4: Simplify right side
    533.04x = 342,138.93
  5. Step 5: Solve for x
    x = 342,138.93/533.04
  6. Step 6: Final answer
    x = 641.86

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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.