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Finding the Fourth Proportional to 511.90, 706.08 and 315.16

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Solution

The fourth proportional to 511.90, 706.08 and 315.16 is: 434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 706.08 = 315.16 : x
  2. Step 2: Convert to fraction form
    511.90/706.08 = 315.16/x
  3. Step 3: Cross multiply
    511.90x = 706.08 × 315.16
  4. Step 4: Simplify right side
    511.90x = 222,528.17
  5. Step 5: Solve for x
    x = 222,528.17/511.90
  6. Step 6: Final answer
    x = 434.71

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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.