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Finding the Fourth Proportional to 310.51, 467.59 and 270.42

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Solution

The fourth proportional to 310.51, 467.59 and 270.42 is: 407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 467.59 = 270.42 : x
  2. Step 2: Convert to fraction form
    310.51/467.59 = 270.42/x
  3. Step 3: Cross multiply
    310.51x = 467.59 × 270.42
  4. Step 4: Simplify right side
    310.51x = 126,445.69
  5. Step 5: Solve for x
    x = 126,445.69/310.51
  6. Step 6: Final answer
    x = 407.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.