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Finding the Fourth Proportional to 623.40, 934.26 and 257.76

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Solution

The fourth proportional to 623.40, 934.26 and 257.76 is: 386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 934.26 = 257.76 : x
  2. Step 2: Convert to fraction form
    623.40/934.26 = 257.76/x
  3. Step 3: Cross multiply
    623.40x = 934.26 × 257.76
  4. Step 4: Simplify right side
    623.40x = 240,814.86
  5. Step 5: Solve for x
    x = 240,814.86/623.40
  6. Step 6: Final answer
    x = 386.29

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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.