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Finding the Fourth Proportional to 593.28, 882.72 and 580.32

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Solution

The fourth proportional to 593.28, 882.72 and 580.32 is: 863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.28 : 882.72 = 580.32 : x
  2. Step 2: Convert to fraction form
    593.28/882.72 = 580.32/x
  3. Step 3: Cross multiply
    593.28x = 882.72 × 580.32
  4. Step 4: Simplify right side
    593.28x = 512,260.07
  5. Step 5: Solve for x
    x = 512,260.07/593.28
  6. Step 6: Final answer
    x = 863.44

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Why These Related Problems?

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