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Finding the Fourth Proportional to 593.64, 884.36 and 566.98

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Solution

The fourth proportional to 593.64, 884.36 and 566.98 is: 844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.64 : 884.36 = 566.98 : x
  2. Step 2: Convert to fraction form
    593.64/884.36 = 566.98/x
  3. Step 3: Cross multiply
    593.64x = 884.36 × 566.98
  4. Step 4: Simplify right side
    593.64x = 501,417.82
  5. Step 5: Solve for x
    x = 501,417.82/593.64
  6. Step 6: Final answer
    x = 844.65

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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.