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Finding the Fourth Proportional to 596.83, 895.25 and 323.05

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Solution

The fourth proportional to 596.83, 895.25 and 323.05 is: 484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.83 : 895.25 = 323.05 : x
  2. Step 2: Convert to fraction form
    596.83/895.25 = 323.05/x
  3. Step 3: Cross multiply
    596.83x = 895.25 × 323.05
  4. Step 4: Simplify right side
    596.83x = 289,208.90
  5. Step 5: Solve for x
    x = 289,208.90/596.83
  6. Step 6: Final answer
    x = 484.58

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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.