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Finding the Fourth Proportional to 533.55, 801.14 and 339.78

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Solution

The fourth proportional to 533.55, 801.14 and 339.78 is: 510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.55 : 801.14 = 339.78 : x
  2. Step 2: Convert to fraction form
    533.55/801.14 = 339.78/x
  3. Step 3: Cross multiply
    533.55x = 801.14 × 339.78
  4. Step 4: Simplify right side
    533.55x = 272,209.65
  5. Step 5: Solve for x
    x = 272,209.65/533.55
  6. Step 6: Final answer
    x = 510.19

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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.