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Finding the Fourth Proportional to 466.85, 698.74 and 258.30

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Solution

The fourth proportional to 466.85, 698.74 and 258.30 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.85 : 698.74 = 258.30 : x
  2. Step 2: Convert to fraction form
    466.85/698.74 = 258.30/x
  3. Step 3: Cross multiply
    466.85x = 698.74 × 258.30
  4. Step 4: Simplify right side
    466.85x = 180,483.90
  5. Step 5: Solve for x
    x = 180,483.90/466.85
  6. Step 6: Final answer
    x = 386.60

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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.