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Finding the Fourth Proportional to 593.83, 891.20 and 320.00

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Solution

The fourth proportional to 593.83, 891.20 and 320.00 is: 480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.83 : 891.20 = 320.00 : x
  2. Step 2: Convert to fraction form
    593.83/891.20 = 320.00/x
  3. Step 3: Cross multiply
    593.83x = 891.20 × 320.00
  4. Step 4: Simplify right side
    593.83x = 285,177.94
  5. Step 5: Solve for x
    x = 285,177.94/593.83
  6. Step 6: Final answer
    x = 480.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.