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Finding the Fourth Proportional to 434.82, 652.62 and 203.84

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Solution

The fourth proportional to 434.82, 652.62 and 203.84 is: 305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.82 : 652.62 = 203.84 : x
  2. Step 2: Convert to fraction form
    434.82/652.62 = 203.84/x
  3. Step 3: Cross multiply
    434.82x = 652.62 × 203.84
  4. Step 4: Simplify right side
    434.82x = 133,030.06
  5. Step 5: Solve for x
    x = 133,030.06/434.82
  6. Step 6: Final answer
    x = 305.94

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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.