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Finding the Fourth Proportional to 580.32, 799.92 and 568.80

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Solution

The fourth proportional to 580.32, 799.92 and 568.80 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.32 : 799.92 = 568.80 : x
  2. Step 2: Convert to fraction form
    580.32/799.92 = 568.80/x
  3. Step 3: Cross multiply
    580.32x = 799.92 × 568.80
  4. Step 4: Simplify right side
    580.32x = 454,994.50
  5. Step 5: Solve for x
    x = 454,994.50/580.32
  6. Step 6: Final answer
    x = 784.04

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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.