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Finding the Fourth Proportional to 623.64, 935.26 and 258.23

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Solution

The fourth proportional to 623.64, 935.26 and 258.23 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 935.26 = 258.23 : x
  2. Step 2: Convert to fraction form
    623.64/935.26 = 258.23/x
  3. Step 3: Cross multiply
    623.64x = 935.26 × 258.23
  4. Step 4: Simplify right side
    623.64x = 241,513.88
  5. Step 5: Solve for x
    x = 241,513.88/623.64
  6. Step 6: Final answer
    x = 387.26

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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.