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Finding the Fourth Proportional to 596.89, 895.74 and 323.07

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Solution

The fourth proportional to 596.89, 895.74 and 323.07 is: 484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.89 : 895.74 = 323.07 : x
  2. Step 2: Convert to fraction form
    596.89/895.74 = 323.07/x
  3. Step 3: Cross multiply
    596.89x = 895.74 × 323.07
  4. Step 4: Simplify right side
    596.89x = 289,386.72
  5. Step 5: Solve for x
    x = 289,386.72/596.89
  6. Step 6: Final answer
    x = 484.82

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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.