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Finding the Fourth Proportional to 623.71, 935.58 and 258.52

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Solution

The fourth proportional to 623.71, 935.58 and 258.52 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.71 : 935.58 = 258.52 : x
  2. Step 2: Convert to fraction form
    623.71/935.58 = 258.52/x
  3. Step 3: Cross multiply
    623.71x = 935.58 × 258.52
  4. Step 4: Simplify right side
    623.71x = 241,866.14
  5. Step 5: Solve for x
    x = 241,866.14/623.71
  6. Step 6: Final answer
    x = 387.79

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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.