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Finding the Fourth Proportional to 623.47, 935.21 and 184.73

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Solution

The fourth proportional to 623.47, 935.21 and 184.73 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.47 : 935.21 = 184.73 : x
  2. Step 2: Convert to fraction form
    623.47/935.21 = 184.73/x
  3. Step 3: Cross multiply
    623.47x = 935.21 × 184.73
  4. Step 4: Simplify right side
    623.47x = 172,762.39
  5. Step 5: Solve for x
    x = 172,762.39/623.47
  6. Step 6: Final answer
    x = 277.10

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