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Finding the Fourth Proportional to 511.67, 706.14 and 315.14

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Solution

The fourth proportional to 511.67, 706.14 and 315.14 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 706.14 = 315.14 : x
  2. Step 2: Convert to fraction form
    511.67/706.14 = 315.14/x
  3. Step 3: Cross multiply
    511.67x = 706.14 × 315.14
  4. Step 4: Simplify right side
    511.67x = 222,534.29
  5. Step 5: Solve for x
    x = 222,534.29/511.67
  6. Step 6: Final answer
    x = 434.92

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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.