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Finding the Fourth Proportional to 533.14, 735.51 and 358.18

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Solution

The fourth proportional to 533.14, 735.51 and 358.18 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.14 : 735.51 = 358.18 : x
  2. Step 2: Convert to fraction form
    533.14/735.51 = 358.18/x
  3. Step 3: Cross multiply
    533.14x = 735.51 × 358.18
  4. Step 4: Simplify right side
    533.14x = 263,444.97
  5. Step 5: Solve for x
    x = 263,444.97/533.14
  6. Step 6: Final answer
    x = 494.14

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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.