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Finding the Fourth Proportional to 533.81, 800.51 and 187.07

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Solution

The fourth proportional to 533.81, 800.51 and 187.07 is: 280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.81 : 800.51 = 187.07 : x
  2. Step 2: Convert to fraction form
    533.81/800.51 = 187.07/x
  3. Step 3: Cross multiply
    533.81x = 800.51 × 187.07
  4. Step 4: Simplify right side
    533.81x = 149,746.47
  5. Step 5: Solve for x
    x = 149,746.47/533.81
  6. Step 6: Final answer
    x = 280.52

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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.