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Finding the Fourth Proportional to 646.44, 969.72 and 430.20

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Solution

The fourth proportional to 646.44, 969.72 and 430.20 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.44 : 969.72 = 430.20 : x
  2. Step 2: Convert to fraction form
    646.44/969.72 = 430.20/x
  3. Step 3: Cross multiply
    646.44x = 969.72 × 430.20
  4. Step 4: Simplify right side
    646.44x = 417,173.54
  5. Step 5: Solve for x
    x = 417,173.54/646.44
  6. Step 6: Final answer
    x = 645.34

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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.