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Finding the Fourth Proportional to 369.18, 509.58 and 252.78

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Solution

The fourth proportional to 369.18, 509.58 and 252.78 is: 348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.18 : 509.58 = 252.78 : x
  2. Step 2: Convert to fraction form
    369.18/509.58 = 252.78/x
  3. Step 3: Cross multiply
    369.18x = 509.58 × 252.78
  4. Step 4: Simplify right side
    369.18x = 128,811.63
  5. Step 5: Solve for x
    x = 128,811.63/369.18
  6. Step 6: Final answer
    x = 348.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.