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Finding the Fourth Proportional to 623.74, 930.34 and 531.40

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Solution

The fourth proportional to 623.74, 930.34 and 531.40 is: 792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.74 : 930.34 = 531.40 : x
  2. Step 2: Convert to fraction form
    623.74/930.34 = 531.40/x
  3. Step 3: Cross multiply
    623.74x = 930.34 × 531.40
  4. Step 4: Simplify right side
    623.74x = 494,382.68
  5. Step 5: Solve for x
    x = 494,382.68/623.74
  6. Step 6: Final answer
    x = 792.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.