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Finding the Fourth Proportional to 596.45, 895.85 and 542.26

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Solution

The fourth proportional to 596.45, 895.85 and 542.26 is: 814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 895.85 = 542.26 : x
  2. Step 2: Convert to fraction form
    596.45/895.85 = 542.26/x
  3. Step 3: Cross multiply
    596.45x = 895.85 × 542.26
  4. Step 4: Simplify right side
    596.45x = 485,784.06
  5. Step 5: Solve for x
    x = 485,784.06/596.45
  6. Step 6: Final answer
    x = 814.46

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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.