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Finding the Fourth Proportional to 533.86, 737.06 and 345.13

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Solution

The fourth proportional to 533.86, 737.06 and 345.13 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.86 : 737.06 = 345.13 : x
  2. Step 2: Convert to fraction form
    533.86/737.06 = 345.13/x
  3. Step 3: Cross multiply
    533.86x = 737.06 × 345.13
  4. Step 4: Simplify right side
    533.86x = 254,377.95
  5. Step 5: Solve for x
    x = 254,377.95/533.86
  6. Step 6: Final answer
    x = 476.49

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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.