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Finding the Fourth Proportional to 580.05, 800.47 and 347.17

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Solution

The fourth proportional to 580.05, 800.47 and 347.17 is: 479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 800.47 = 347.17 : x
  2. Step 2: Convert to fraction form
    580.05/800.47 = 347.17/x
  3. Step 3: Cross multiply
    580.05x = 800.47 × 347.17
  4. Step 4: Simplify right side
    580.05x = 277,900.30
  5. Step 5: Solve for x
    x = 277,900.30/580.05
  6. Step 6: Final answer
    x = 479.10

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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.