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Finding the Fourth Proportional to 533.26, 736.06 and 312.18

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Solution

The fourth proportional to 533.26, 736.06 and 312.18 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 736.06 = 312.18 : x
  2. Step 2: Convert to fraction form
    533.26/736.06 = 312.18/x
  3. Step 3: Cross multiply
    533.26x = 736.06 × 312.18
  4. Step 4: Simplify right side
    533.26x = 229,783.21
  5. Step 5: Solve for x
    x = 229,783.21/533.26
  6. Step 6: Final answer
    x = 430.90

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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.