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Finding the Fourth Proportional to 593.05, 816.15 and 577.80

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Solution

The fourth proportional to 593.05, 816.15 and 577.80 is: 795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.05 : 816.15 = 577.80 : x
  2. Step 2: Convert to fraction form
    593.05/816.15 = 577.80/x
  3. Step 3: Cross multiply
    593.05x = 816.15 × 577.80
  4. Step 4: Simplify right side
    593.05x = 471,571.47
  5. Step 5: Solve for x
    x = 471,571.47/593.05
  6. Step 6: Final answer
    x = 795.16

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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.