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Finding the Fourth Proportional to 369.32, 509.94 and 229.64

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Solution

The fourth proportional to 369.32, 509.94 and 229.64 is: 317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 509.94 = 229.64 : x
  2. Step 2: Convert to fraction form
    369.32/509.94 = 229.64/x
  3. Step 3: Cross multiply
    369.32x = 509.94 × 229.64
  4. Step 4: Simplify right side
    369.32x = 117,100.07
  5. Step 5: Solve for x
    x = 117,100.07/369.32
  6. Step 6: Final answer
    x = 317.07

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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.