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Finding the Fourth Proportional to 593.65, 891.02 and 320.01

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Solution

The fourth proportional to 593.65, 891.02 and 320.01 is: 480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.65 : 891.02 = 320.01 : x
  2. Step 2: Convert to fraction form
    593.65/891.02 = 320.01/x
  3. Step 3: Cross multiply
    593.65x = 891.02 × 320.01
  4. Step 4: Simplify right side
    593.65x = 285,135.31
  5. Step 5: Solve for x
    x = 285,135.31/593.65
  6. Step 6: Final answer
    x = 480.31

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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.