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Finding the Fourth Proportional to 533.42, 798.34 and 328.14

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Solution

The fourth proportional to 533.42, 798.34 and 328.14 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 798.34 = 328.14 : x
  2. Step 2: Convert to fraction form
    533.42/798.34 = 328.14/x
  3. Step 3: Cross multiply
    533.42x = 798.34 × 328.14
  4. Step 4: Simplify right side
    533.42x = 261,967.08
  5. Step 5: Solve for x
    x = 261,967.08/533.42
  6. Step 6: Final answer
    x = 491.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.