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Finding the Fourth Proportional to 635.01, 953.28 and 430.47

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Solution

The fourth proportional to 635.01, 953.28 and 430.47 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.01 : 953.28 = 430.47 : x
  2. Step 2: Convert to fraction form
    635.01/953.28 = 430.47/x
  3. Step 3: Cross multiply
    635.01x = 953.28 × 430.47
  4. Step 4: Simplify right side
    635.01x = 410,358.44
  5. Step 5: Solve for x
    x = 410,358.44/635.01
  6. Step 6: Final answer
    x = 646.22

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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.