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Finding the Fourth Proportional to 511.86, 706.38 and 312.72

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Solution

The fourth proportional to 511.86, 706.38 and 312.72 is: 431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 706.38 = 312.72 : x
  2. Step 2: Convert to fraction form
    511.86/706.38 = 312.72/x
  3. Step 3: Cross multiply
    511.86x = 706.38 × 312.72
  4. Step 4: Simplify right side
    511.86x = 220,900.18
  5. Step 5: Solve for x
    x = 220,900.18/511.86
  6. Step 6: Final answer
    x = 431.57

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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.