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Finding the Fourth Proportional to 661.52, 993.33 and 430.97

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Solution

The fourth proportional to 661.52, 993.33 and 430.97 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 993.33 = 430.97 : x
  2. Step 2: Convert to fraction form
    661.52/993.33 = 430.97/x
  3. Step 3: Cross multiply
    661.52x = 993.33 × 430.97
  4. Step 4: Simplify right side
    661.52x = 428,090.46
  5. Step 5: Solve for x
    x = 428,090.46/661.52
  6. Step 6: Final answer
    x = 647.13

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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.