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Finding the Fourth Proportional to 593.30, 816.27 and 577.10

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Solution

The fourth proportional to 593.30, 816.27 and 577.10 is: 793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.30 : 816.27 = 577.10 : x
  2. Step 2: Convert to fraction form
    593.30/816.27 = 577.10/x
  3. Step 3: Cross multiply
    593.30x = 816.27 × 577.10
  4. Step 4: Simplify right side
    593.30x = 471,069.42
  5. Step 5: Solve for x
    x = 471,069.42/593.30
  6. Step 6: Final answer
    x = 793.98

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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.