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Finding the Fourth Proportional to 580.76, 800.22 and 510.28

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Solution

The fourth proportional to 580.76, 800.22 and 510.28 is: 703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 800.22 = 510.28 : x
  2. Step 2: Convert to fraction form
    580.76/800.22 = 510.28/x
  3. Step 3: Cross multiply
    580.76x = 800.22 × 510.28
  4. Step 4: Simplify right side
    580.76x = 408,336.26
  5. Step 5: Solve for x
    x = 408,336.26/580.76
  6. Step 6: Final answer
    x = 703.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.