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Finding the Fourth Proportional to 369.32, 509.66 and 203.52

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Solution

The fourth proportional to 369.32, 509.66 and 203.52 is: 280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 509.66 = 203.52 : x
  2. Step 2: Convert to fraction form
    369.32/509.66 = 203.52/x
  3. Step 3: Cross multiply
    369.32x = 509.66 × 203.52
  4. Step 4: Simplify right side
    369.32x = 103,726.51
  5. Step 5: Solve for x
    x = 103,726.51/369.32
  6. Step 6: Final answer
    x = 280.86

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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.