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Finding the Fourth Proportional to 580.02, 799.84 and 347.28

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Solution

The fourth proportional to 580.02, 799.84 and 347.28 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 799.84 = 347.28 : x
  2. Step 2: Convert to fraction form
    580.02/799.84 = 347.28/x
  3. Step 3: Cross multiply
    580.02x = 799.84 × 347.28
  4. Step 4: Simplify right side
    580.02x = 277,768.44
  5. Step 5: Solve for x
    x = 277,768.44/580.02
  6. Step 6: Final answer
    x = 478.89

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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.