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Finding the Fourth Proportional to 533.04, 734.52 and 346.32

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Solution

The fourth proportional to 533.04, 734.52 and 346.32 is: 477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.04 : 734.52 = 346.32 : x
  2. Step 2: Convert to fraction form
    533.04/734.52 = 346.32/x
  3. Step 3: Cross multiply
    533.04x = 734.52 × 346.32
  4. Step 4: Simplify right side
    533.04x = 254,378.97
  5. Step 5: Solve for x
    x = 254,378.97/533.04
  6. Step 6: Final answer
    x = 477.22

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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.