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Finding the Fourth Proportional to 623.38, 935.10 and 258.22

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Solution

The fourth proportional to 623.38, 935.10 and 258.22 is: 387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.38 : 935.10 = 258.22 : x
  2. Step 2: Convert to fraction form
    623.38/935.10 = 258.22/x
  3. Step 3: Cross multiply
    623.38x = 935.10 × 258.22
  4. Step 4: Simplify right side
    623.38x = 241,461.52
  5. Step 5: Solve for x
    x = 241,461.52/623.38
  6. Step 6: Final answer
    x = 387.34

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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.