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Finding the Fourth Proportional to 533.03, 735.62 and 297.00

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Solution

The fourth proportional to 533.03, 735.62 and 297.00 is: 409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.03 : 735.62 = 297.00 : x
  2. Step 2: Convert to fraction form
    533.03/735.62 = 297.00/x
  3. Step 3: Cross multiply
    533.03x = 735.62 × 297.00
  4. Step 4: Simplify right side
    533.03x = 218,475.46
  5. Step 5: Solve for x
    x = 218,475.46/533.03
  6. Step 6: Final answer
    x = 409.87

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Why These Related Problems?

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