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Finding the Fourth Proportional to 623.31, 934.89 and 184.52

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Solution

The fourth proportional to 623.31, 934.89 and 184.52 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.31 : 934.89 = 184.52 : x
  2. Step 2: Convert to fraction form
    623.31/934.89 = 184.52/x
  3. Step 3: Cross multiply
    623.31x = 934.89 × 184.52
  4. Step 4: Simplify right side
    623.31x = 172,501.23
  5. Step 5: Solve for x
    x = 172,501.23/623.31
  6. Step 6: Final answer
    x = 276.75

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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.