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Finding the Fourth Proportional to 593.21, 884.64 and 520.43

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Solution

The fourth proportional to 593.21, 884.64 and 520.43 is: 776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.21 : 884.64 = 520.43 : x
  2. Step 2: Convert to fraction form
    593.21/884.64 = 520.43/x
  3. Step 3: Cross multiply
    593.21x = 884.64 × 520.43
  4. Step 4: Simplify right side
    593.21x = 460,393.20
  5. Step 5: Solve for x
    x = 460,393.20/593.21
  6. Step 6: Final answer
    x = 776.10

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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.