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Finding the Fourth Proportional to 434.94, 596.94 and 402.06

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Solution

The fourth proportional to 434.94, 596.94 and 402.06 is: 551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.94 : 596.94 = 402.06 : x
  2. Step 2: Convert to fraction form
    434.94/596.94 = 402.06/x
  3. Step 3: Cross multiply
    434.94x = 596.94 × 402.06
  4. Step 4: Simplify right side
    434.94x = 240,005.70
  5. Step 5: Solve for x
    x = 240,005.70/434.94
  6. Step 6: Final answer
    x = 551.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.