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Finding the Fourth Proportional to 623.28, 859.86 and 402.15

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Solution

The fourth proportional to 623.28, 859.86 and 402.15 is: 554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 859.86 = 402.15 : x
  2. Step 2: Convert to fraction form
    623.28/859.86 = 402.15/x
  3. Step 3: Cross multiply
    623.28x = 859.86 × 402.15
  4. Step 4: Simplify right side
    623.28x = 345,792.70
  5. Step 5: Solve for x
    x = 345,792.70/623.28
  6. Step 6: Final answer
    x = 554.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.