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Finding the Fourth Proportional to 646.28, 969.57 and 465.04

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Solution

The fourth proportional to 646.28, 969.57 and 465.04 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.28 : 969.57 = 465.04 : x
  2. Step 2: Convert to fraction form
    646.28/969.57 = 465.04/x
  3. Step 3: Cross multiply
    646.28x = 969.57 × 465.04
  4. Step 4: Simplify right side
    646.28x = 450,890.04
  5. Step 5: Solve for x
    x = 450,890.04/646.28
  6. Step 6: Final answer
    x = 697.67

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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.