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Finding the Fourth Proportional to 591.19, 885.76 and 359.59

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Solution

The fourth proportional to 591.19, 885.76 and 359.59 is: 538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.19 : 885.76 = 359.59 : x
  2. Step 2: Convert to fraction form
    591.19/885.76 = 359.59/x
  3. Step 3: Cross multiply
    591.19x = 885.76 × 359.59
  4. Step 4: Simplify right side
    591.19x = 318,508.99
  5. Step 5: Solve for x
    x = 318,508.99/591.19
  6. Step 6: Final answer
    x = 538.76

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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.