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Finding the Fourth Proportional to 533.07, 735.57 and 297.01

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Solution

The fourth proportional to 533.07, 735.57 and 297.01 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.07 : 735.57 = 297.01 : x
  2. Step 2: Convert to fraction form
    533.07/735.57 = 297.01/x
  3. Step 3: Cross multiply
    533.07x = 735.57 × 297.01
  4. Step 4: Simplify right side
    533.07x = 218,471.65
  5. Step 5: Solve for x
    x = 218,471.65/533.07
  6. Step 6: Final answer
    x = 409.84

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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.