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Finding the Fourth Proportional to 469.23, 647.61 and 270.08

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Solution

The fourth proportional to 469.23, 647.61 and 270.08 is: 372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 647.61 = 270.08 : x
  2. Step 2: Convert to fraction form
    469.23/647.61 = 270.08/x
  3. Step 3: Cross multiply
    469.23x = 647.61 × 270.08
  4. Step 4: Simplify right side
    469.23x = 174,903.27
  5. Step 5: Solve for x
    x = 174,903.27/469.23
  6. Step 6: Final answer
    x = 372.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.