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Finding the Fourth Proportional to 624.07, 936.10 and 258.86

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Solution

The fourth proportional to 624.07, 936.10 and 258.86 is: 388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.07 : 936.10 = 258.86 : x
  2. Step 2: Convert to fraction form
    624.07/936.10 = 258.86/x
  3. Step 3: Cross multiply
    624.07x = 936.10 × 258.86
  4. Step 4: Simplify right side
    624.07x = 242,317.55
  5. Step 5: Solve for x
    x = 242,317.55/624.07
  6. Step 6: Final answer
    x = 388.29

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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.