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Finding the Fourth Proportional to 456.86, 630.42 and 270.35

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Solution

The fourth proportional to 456.86, 630.42 and 270.35 is: 373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 630.42 = 270.35 : x
  2. Step 2: Convert to fraction form
    456.86/630.42 = 270.35/x
  3. Step 3: Cross multiply
    456.86x = 630.42 × 270.35
  4. Step 4: Simplify right side
    456.86x = 170,434.05
  5. Step 5: Solve for x
    x = 170,434.05/456.86
  6. Step 6: Final answer
    x = 373.06

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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.