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Finding the Fourth Proportional to 624.26, 936.14 and 258.81

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Solution

The fourth proportional to 624.26, 936.14 and 258.81 is: 388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.26 : 936.14 = 258.81 : x
  2. Step 2: Convert to fraction form
    624.26/936.14 = 258.81/x
  3. Step 3: Cross multiply
    624.26x = 936.14 × 258.81
  4. Step 4: Simplify right side
    624.26x = 242,281.10
  5. Step 5: Solve for x
    x = 242,281.10/624.26
  6. Step 6: Final answer
    x = 388.11

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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.