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Finding the Fourth Proportional to 434.86, 652.64 and 229.55

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Solution

The fourth proportional to 434.86, 652.64 and 229.55 is: 344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 652.64 = 229.55 : x
  2. Step 2: Convert to fraction form
    434.86/652.64 = 229.55/x
  3. Step 3: Cross multiply
    434.86x = 652.64 × 229.55
  4. Step 4: Simplify right side
    434.86x = 149,813.51
  5. Step 5: Solve for x
    x = 149,813.51/434.86
  6. Step 6: Final answer
    x = 344.51

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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.