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Finding the Fourth Proportional to 593.15, 883.46 and 566.49

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Solution

The fourth proportional to 593.15, 883.46 and 566.49 is: 843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.15 : 883.46 = 566.49 : x
  2. Step 2: Convert to fraction form
    593.15/883.46 = 566.49/x
  3. Step 3: Cross multiply
    593.15x = 883.46 × 566.49
  4. Step 4: Simplify right side
    593.15x = 500,475.98
  5. Step 5: Solve for x
    x = 500,475.98/593.15
  6. Step 6: Final answer
    x = 843.77

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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.