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Finding the Fourth Proportional to 533, 798.06 and 378.12

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Solution

The fourth proportional to 533, 798.06 and 378.12 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533 : 798.06 = 378.12 : x
  2. Step 2: Convert to fraction form
    533/798.06 = 378.12/x
  3. Step 3: Cross multiply
    533x = 798.06 × 378.12
  4. Step 4: Simplify right side
    533x = 301,762.45
  5. Step 5: Solve for x
    x = 301,762.45/533
  6. Step 6: Final answer
    x = 566.16

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Why These Related Problems?

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