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Finding the Fourth Proportional to 646.82, 970.84 and 338.90

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Solution

The fourth proportional to 646.82, 970.84 and 338.90 is: 508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 970.84 = 338.90 : x
  2. Step 2: Convert to fraction form
    646.82/970.84 = 338.90/x
  3. Step 3: Cross multiply
    646.82x = 970.84 × 338.90
  4. Step 4: Simplify right side
    646.82x = 329,017.68
  5. Step 5: Solve for x
    x = 329,017.68/646.82
  6. Step 6: Final answer
    x = 508.67

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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.