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Finding the Fourth Proportional to 580.86, 802.35 and 522.54

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Solution

The fourth proportional to 580.86, 802.35 and 522.54 is: 721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.86 : 802.35 = 522.54 : x
  2. Step 2: Convert to fraction form
    580.86/802.35 = 522.54/x
  3. Step 3: Cross multiply
    580.86x = 802.35 × 522.54
  4. Step 4: Simplify right side
    580.86x = 419,259.97
  5. Step 5: Solve for x
    x = 419,259.97/580.86
  6. Step 6: Final answer
    x = 721.79

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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.