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Finding the Fourth Proportional to 580.14, 800.64 and 347.31

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Solution

The fourth proportional to 580.14, 800.64 and 347.31 is: 479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800.64 = 347.31 : x
  2. Step 2: Convert to fraction form
    580.14/800.64 = 347.31/x
  3. Step 3: Cross multiply
    580.14x = 800.64 × 347.31
  4. Step 4: Simplify right side
    580.14x = 278,070.28
  5. Step 5: Solve for x
    x = 278,070.28/580.14
  6. Step 6: Final answer
    x = 479.32

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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.