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Finding the Fourth Proportional to 591.36, 884.95 and 434.82

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Solution

The fourth proportional to 591.36, 884.95 and 434.82 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.36 : 884.95 = 434.82 : x
  2. Step 2: Convert to fraction form
    591.36/884.95 = 434.82/x
  3. Step 3: Cross multiply
    591.36x = 884.95 × 434.82
  4. Step 4: Simplify right side
    591.36x = 384,788.45
  5. Step 5: Solve for x
    x = 384,788.45/591.36
  6. Step 6: Final answer
    x = 650.69

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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.