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Finding the Fourth Proportional to 434.31, 651.64 and 190.88

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Solution

The fourth proportional to 434.31, 651.64 and 190.88 is: 286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.31 : 651.64 = 190.88 : x
  2. Step 2: Convert to fraction form
    434.31/651.64 = 190.88/x
  3. Step 3: Cross multiply
    434.31x = 651.64 × 190.88
  4. Step 4: Simplify right side
    434.31x = 124,385.04
  5. Step 5: Solve for x
    x = 124,385.04/434.31
  6. Step 6: Final answer
    x = 286.40

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Why These Related Problems?

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