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Finding the Fourth Proportional to 434.22, 651.60 and 310.92

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Solution

The fourth proportional to 434.22, 651.60 and 310.92 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 651.60 = 310.92 : x
  2. Step 2: Convert to fraction form
    434.22/651.60 = 310.92/x
  3. Step 3: Cross multiply
    434.22x = 651.60 × 310.92
  4. Step 4: Simplify right side
    434.22x = 202,595.47
  5. Step 5: Solve for x
    x = 202,595.47/434.22
  6. Step 6: Final answer
    x = 466.57

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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.