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Finding the Fourth Proportional to 623.34, 935.01 and 257.73

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Solution

The fourth proportional to 623.34, 935.01 and 257.73 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.34 : 935.01 = 257.73 : x
  2. Step 2: Convert to fraction form
    623.34/935.01 = 257.73/x
  3. Step 3: Cross multiply
    623.34x = 935.01 × 257.73
  4. Step 4: Simplify right side
    623.34x = 240,980.13
  5. Step 5: Solve for x
    x = 240,980.13/623.34
  6. Step 6: Final answer
    x = 386.60

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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.