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Finding the Fourth Proportional to 623.71, 935.45 and 184.95

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Solution

The fourth proportional to 623.71, 935.45 and 184.95 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.71 : 935.45 = 184.95 : x
  2. Step 2: Convert to fraction form
    623.71/935.45 = 184.95/x
  3. Step 3: Cross multiply
    623.71x = 935.45 × 184.95
  4. Step 4: Simplify right side
    623.71x = 173,012.29
  5. Step 5: Solve for x
    x = 173,012.29/623.71
  6. Step 6: Final answer
    x = 277.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.