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Finding the Fourth Proportional to 377.00, 565.59 and 203.66

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Solution

The fourth proportional to 377.00, 565.59 and 203.66 is: 305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.00 : 565.59 = 203.66 : x
  2. Step 2: Convert to fraction form
    377.00/565.59 = 203.66/x
  3. Step 3: Cross multiply
    377.00x = 565.59 × 203.66
  4. Step 4: Simplify right side
    377.00x = 115,190.18
  5. Step 5: Solve for x
    x = 115,190.18/377.00
  6. Step 6: Final answer
    x = 305.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.