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Finding the Fourth Proportional to 623.69, 935.53 and 258.49

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Solution

The fourth proportional to 623.69, 935.53 and 258.49 is: 387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.69 : 935.53 = 258.49 : x
  2. Step 2: Convert to fraction form
    623.69/935.53 = 258.49/x
  3. Step 3: Cross multiply
    623.69x = 935.53 × 258.49
  4. Step 4: Simplify right side
    623.69x = 241,825.15
  5. Step 5: Solve for x
    x = 241,825.15/623.69
  6. Step 6: Final answer
    x = 387.73

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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.