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Finding the Fourth Proportional to 624, 935.36 and 259

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Solution

The fourth proportional to 624, 935.36 and 259 is: 388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    624 : 935.36 = 259 : x
  2. Step 2: Convert to fraction form
    624/935.36 = 259/x
  3. Step 3: Cross multiply
    624x = 935.36 × 259
  4. Step 4: Simplify right side
    624x = 242,258.24
  5. Step 5: Solve for x
    x = 242,258.24/624
  6. Step 6: Final answer
    x = 388.23

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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.