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Finding the Fourth Proportional to 434.90, 652.62 and 191.45

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Solution

The fourth proportional to 434.90, 652.62 and 191.45 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.90 : 652.62 = 191.45 : x
  2. Step 2: Convert to fraction form
    434.90/652.62 = 191.45/x
  3. Step 3: Cross multiply
    434.90x = 652.62 × 191.45
  4. Step 4: Simplify right side
    434.90x = 124,944.10
  5. Step 5: Solve for x
    x = 124,944.10/434.90
  6. Step 6: Final answer
    x = 287.29

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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.