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Finding the Fourth Proportional to 534.35, 804.66 and 466.67

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Solution

The fourth proportional to 534.35, 804.66 and 466.67 is: 702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.35 : 804.66 = 466.67 : x
  2. Step 2: Convert to fraction form
    534.35/804.66 = 466.67/x
  3. Step 3: Cross multiply
    534.35x = 804.66 × 466.67
  4. Step 4: Simplify right side
    534.35x = 375,506.66
  5. Step 5: Solve for x
    x = 375,506.66/534.35
  6. Step 6: Final answer
    x = 702.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.