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Finding the Fourth Proportional to 593.04, 816.72 and 580.32

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Solution

The fourth proportional to 593.04, 816.72 and 580.32 is: 799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 816.72 = 580.32 : x
  2. Step 2: Convert to fraction form
    593.04/816.72 = 580.32/x
  3. Step 3: Cross multiply
    593.04x = 816.72 × 580.32
  4. Step 4: Simplify right side
    593.04x = 473,958.95
  5. Step 5: Solve for x
    x = 473,958.95/593.04
  6. Step 6: Final answer
    x = 799.20

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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.