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Finding the Fourth Proportional to 623.58, 935.27 and 184.82

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Solution

The fourth proportional to 623.58, 935.27 and 184.82 is: 277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.58 : 935.27 = 184.82 : x
  2. Step 2: Convert to fraction form
    623.58/935.27 = 184.82/x
  3. Step 3: Cross multiply
    623.58x = 935.27 × 184.82
  4. Step 4: Simplify right side
    623.58x = 172,856.60
  5. Step 5: Solve for x
    x = 172,856.60/623.58
  6. Step 6: Final answer
    x = 277.20

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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.