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Finding the Fourth Proportional to 434.49, 652.07 and 261.35

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Solution

The fourth proportional to 434.49, 652.07 and 261.35 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.49 : 652.07 = 261.35 : x
  2. Step 2: Convert to fraction form
    434.49/652.07 = 261.35/x
  3. Step 3: Cross multiply
    434.49x = 652.07 × 261.35
  4. Step 4: Simplify right side
    434.49x = 170,418.49
  5. Step 5: Solve for x
    x = 170,418.49/434.49
  6. Step 6: Final answer
    x = 392.23

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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.