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Finding the Fourth Proportional to 434.53, 651.53 and 170.67

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Solution

The fourth proportional to 434.53, 651.53 and 170.67 is: 255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 651.53 = 170.67 : x
  2. Step 2: Convert to fraction form
    434.53/651.53 = 170.67/x
  3. Step 3: Cross multiply
    434.53x = 651.53 × 170.67
  4. Step 4: Simplify right side
    434.53x = 111,196.63
  5. Step 5: Solve for x
    x = 111,196.63/434.53
  6. Step 6: Final answer
    x = 255.90

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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.