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Finding the Fourth Proportional to 596.93, 895.82 and 442.38

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Solution

The fourth proportional to 596.93, 895.82 and 442.38 is: 663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.93 : 895.82 = 442.38 : x
  2. Step 2: Convert to fraction form
    596.93/895.82 = 442.38/x
  3. Step 3: Cross multiply
    596.93x = 895.82 × 442.38
  4. Step 4: Simplify right side
    596.93x = 396,294.00
  5. Step 5: Solve for x
    x = 396,294.00/596.93
  6. Step 6: Final answer
    x = 663.89

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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.