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Finding the Fourth Proportional to 533.11, 735.75 and 312.13

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Solution

The fourth proportional to 533.11, 735.75 and 312.13 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.11 : 735.75 = 312.13 : x
  2. Step 2: Convert to fraction form
    533.11/735.75 = 312.13/x
  3. Step 3: Cross multiply
    533.11x = 735.75 × 312.13
  4. Step 4: Simplify right side
    533.11x = 229,649.65
  5. Step 5: Solve for x
    x = 229,649.65/533.11
  6. Step 6: Final answer
    x = 430.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.