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Finding the Fourth Proportional to 623.18, 932.70 and 427.70

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Solution

The fourth proportional to 623.18, 932.70 and 427.70 is: 640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.18 : 932.70 = 427.70 : x
  2. Step 2: Convert to fraction form
    623.18/932.70 = 427.70/x
  3. Step 3: Cross multiply
    623.18x = 932.70 × 427.70
  4. Step 4: Simplify right side
    623.18x = 398,915.79
  5. Step 5: Solve for x
    x = 398,915.79/623.18
  6. Step 6: Final answer
    x = 640.13

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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.