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Finding the Fourth Proportional to 646.76, 969.77 and 299.90

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Solution

The fourth proportional to 646.76, 969.77 and 299.90 is: 449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 969.77 = 299.90 : x
  2. Step 2: Convert to fraction form
    646.76/969.77 = 299.90/x
  3. Step 3: Cross multiply
    646.76x = 969.77 × 299.90
  4. Step 4: Simplify right side
    646.76x = 290,829.17
  5. Step 5: Solve for x
    x = 290,829.17/646.76
  6. Step 6: Final answer
    x = 449.67

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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.