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Finding the Fourth Proportional to 969.62, 1,454.65 and 320.40

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Solution

The fourth proportional to 969.62, 1,454.65 and 320.40 is: 480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.62 : 1,454.65 = 320.40 : x
  2. Step 2: Convert to fraction form
    969.62/1,454.65 = 320.40/x
  3. Step 3: Cross multiply
    969.62x = 1,454.65 × 320.40
  4. Step 4: Simplify right side
    969.62x = 466,069.06
  5. Step 5: Solve for x
    x = 466,069.06/969.62
  6. Step 6: Final answer
    x = 480.67

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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.