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Finding the Fourth Proportional to 623.55, 935.21 and 184.79

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Solution

The fourth proportional to 623.55, 935.21 and 184.79 is: 277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.55 : 935.21 = 184.79 : x
  2. Step 2: Convert to fraction form
    623.55/935.21 = 184.79/x
  3. Step 3: Cross multiply
    623.55x = 935.21 × 184.79
  4. Step 4: Simplify right side
    623.55x = 172,816.98
  5. Step 5: Solve for x
    x = 172,816.98/623.55
  6. Step 6: Final answer
    x = 277.15

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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.