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Finding the Fourth Proportional to 580.18, 800.25 and 347.14

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Solution

The fourth proportional to 580.18, 800.25 and 347.14 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.18 : 800.25 = 347.14 : x
  2. Step 2: Convert to fraction form
    580.18/800.25 = 347.14/x
  3. Step 3: Cross multiply
    580.18x = 800.25 × 347.14
  4. Step 4: Simplify right side
    580.18x = 277,798.79
  5. Step 5: Solve for x
    x = 277,798.79/580.18
  6. Step 6: Final answer
    x = 478.81

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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.