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Finding the Fourth Proportional to 580.16, 866.80 and 553.28

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Solution

The fourth proportional to 580.16, 866.80 and 553.28 is: 826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 866.80 = 553.28 : x
  2. Step 2: Convert to fraction form
    580.16/866.80 = 553.28/x
  3. Step 3: Cross multiply
    580.16x = 866.80 × 553.28
  4. Step 4: Simplify right side
    580.16x = 479,583.10
  5. Step 5: Solve for x
    x = 479,583.10/580.16
  6. Step 6: Final answer
    x = 826.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.