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Finding the Fourth Proportional to 623.50, 935.35 and 257.99

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Solution

The fourth proportional to 623.50, 935.35 and 257.99 is: 387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 935.35 = 257.99 : x
  2. Step 2: Convert to fraction form
    623.50/935.35 = 257.99/x
  3. Step 3: Cross multiply
    623.50x = 935.35 × 257.99
  4. Step 4: Simplify right side
    623.50x = 241,305.62
  5. Step 5: Solve for x
    x = 241,305.62/623.50
  6. Step 6: Final answer
    x = 387.02

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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.