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Finding the Fourth Proportional to 580.43, 799.12 and 470.27

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Solution

The fourth proportional to 580.43, 799.12 and 470.27 is: 647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.43 : 799.12 = 470.27 : x
  2. Step 2: Convert to fraction form
    580.43/799.12 = 470.27/x
  3. Step 3: Cross multiply
    580.43x = 799.12 × 470.27
  4. Step 4: Simplify right side
    580.43x = 375,802.16
  5. Step 5: Solve for x
    x = 375,802.16/580.43
  6. Step 6: Final answer
    x = 647.45

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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.