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Finding the Fourth Proportional to 434.39, 651.62 and 288.12

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Solution

The fourth proportional to 434.39, 651.62 and 288.12 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.39 : 651.62 = 288.12 : x
  2. Step 2: Convert to fraction form
    434.39/651.62 = 288.12/x
  3. Step 3: Cross multiply
    434.39x = 651.62 × 288.12
  4. Step 4: Simplify right side
    434.39x = 187,747.92
  5. Step 5: Solve for x
    x = 187,747.92/434.39
  6. Step 6: Final answer
    x = 432.22

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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.