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Finding the Fourth Proportional to 434.64, 652.22 and 174.77

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Solution

The fourth proportional to 434.64, 652.22 and 174.77 is: 262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.64 : 652.22 = 174.77 : x
  2. Step 2: Convert to fraction form
    434.64/652.22 = 174.77/x
  3. Step 3: Cross multiply
    434.64x = 652.22 × 174.77
  4. Step 4: Simplify right side
    434.64x = 113,988.49
  5. Step 5: Solve for x
    x = 113,988.49/434.64
  6. Step 6: Final answer
    x = 262.26

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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.