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Finding the Fourth Proportional to 369.32, 509.64 and 203.50

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Solution

The fourth proportional to 369.32, 509.64 and 203.50 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 509.64 = 203.50 : x
  2. Step 2: Convert to fraction form
    369.32/509.64 = 203.50/x
  3. Step 3: Cross multiply
    369.32x = 509.64 × 203.50
  4. Step 4: Simplify right side
    369.32x = 103,711.74
  5. Step 5: Solve for x
    x = 103,711.74/369.32
  6. Step 6: Final answer
    x = 280.82

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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.