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Finding the Fourth Proportional to 580.20, 800.54 and 328.14

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Solution

The fourth proportional to 580.20, 800.54 and 328.14 is: 452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.20 : 800.54 = 328.14 : x
  2. Step 2: Convert to fraction form
    580.20/800.54 = 328.14/x
  3. Step 3: Cross multiply
    580.20x = 800.54 × 328.14
  4. Step 4: Simplify right side
    580.20x = 262,686.79
  5. Step 5: Solve for x
    x = 262,686.79/580.20
  6. Step 6: Final answer
    x = 452.75

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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.