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Finding the Fourth Proportional to 369.64, 509.94 and 245.35

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Solution

The fourth proportional to 369.64, 509.94 and 245.35 is: 338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 509.94 = 245.35 : x
  2. Step 2: Convert to fraction form
    369.64/509.94 = 245.35/x
  3. Step 3: Cross multiply
    369.64x = 509.94 × 245.35
  4. Step 4: Simplify right side
    369.64x = 125,113.78
  5. Step 5: Solve for x
    x = 125,113.78/369.64
  6. Step 6: Final answer
    x = 338.47

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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.