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Finding the Fourth Proportional to 624.56, 936.74 and 392.74

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Solution

The fourth proportional to 624.56, 936.74 and 392.74 is: 589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 936.74 = 392.74 : x
  2. Step 2: Convert to fraction form
    624.56/936.74 = 392.74/x
  3. Step 3: Cross multiply
    624.56x = 936.74 × 392.74
  4. Step 4: Simplify right side
    624.56x = 367,898.16
  5. Step 5: Solve for x
    x = 367,898.16/624.56
  6. Step 6: Final answer
    x = 589.05

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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.