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Finding the Fourth Proportional to 596.36, 895.66 and 354.38

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Solution

The fourth proportional to 596.36, 895.66 and 354.38 is: 532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.36 : 895.66 = 354.38 : x
  2. Step 2: Convert to fraction form
    596.36/895.66 = 354.38/x
  3. Step 3: Cross multiply
    596.36x = 895.66 × 354.38
  4. Step 4: Simplify right side
    596.36x = 317,398.63
  5. Step 5: Solve for x
    x = 317,398.63/596.36
  6. Step 6: Final answer
    x = 532.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.