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Finding the Fourth Proportional to 593.94, 891.33 and 209.19

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Solution

The fourth proportional to 593.94, 891.33 and 209.19 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.94 : 891.33 = 209.19 : x
  2. Step 2: Convert to fraction form
    593.94/891.33 = 209.19/x
  3. Step 3: Cross multiply
    593.94x = 891.33 × 209.19
  4. Step 4: Simplify right side
    593.94x = 186,457.32
  5. Step 5: Solve for x
    x = 186,457.32/593.94
  6. Step 6: Final answer
    x = 313.93

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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.