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Finding the Fourth Proportional to 434.57, 652.00 and 191.11

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Solution

The fourth proportional to 434.57, 652.00 and 191.11 is: 286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 652.00 = 191.11 : x
  2. Step 2: Convert to fraction form
    434.57/652.00 = 191.11/x
  3. Step 3: Cross multiply
    434.57x = 652.00 × 191.11
  4. Step 4: Simplify right side
    434.57x = 124,603.19
  5. Step 5: Solve for x
    x = 124,603.19/434.57
  6. Step 6: Final answer
    x = 286.73

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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.