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Finding the Fourth Proportional to 492.85, 679.98 and 352.72

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Solution

The fourth proportional to 492.85, 679.98 and 352.72 is: 486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.85 : 679.98 = 352.72 : x
  2. Step 2: Convert to fraction form
    492.85/679.98 = 352.72/x
  3. Step 3: Cross multiply
    492.85x = 679.98 × 352.72
  4. Step 4: Simplify right side
    492.85x = 239,842.55
  5. Step 5: Solve for x
    x = 239,842.55/492.85
  6. Step 6: Final answer
    x = 486.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.