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Finding the Fourth Proportional to 596.51, 894.94 and 402.29

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Solution

The fourth proportional to 596.51, 894.94 and 402.29 is: 603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.51 : 894.94 = 402.29 : x
  2. Step 2: Convert to fraction form
    596.51/894.94 = 402.29/x
  3. Step 3: Cross multiply
    596.51x = 894.94 × 402.29
  4. Step 4: Simplify right side
    596.51x = 360,020.94
  5. Step 5: Solve for x
    x = 360,020.94/596.51
  6. Step 6: Final answer
    x = 603.55

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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.