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Finding the Fourth Proportional to 510.96, 705.06 and 286.88

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Solution

The fourth proportional to 510.96, 705.06 and 286.88 is: 395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 705.06 = 286.88 : x
  2. Step 2: Convert to fraction form
    510.96/705.06 = 286.88/x
  3. Step 3: Cross multiply
    510.96x = 705.06 × 286.88
  4. Step 4: Simplify right side
    510.96x = 202,267.61
  5. Step 5: Solve for x
    x = 202,267.61/510.96
  6. Step 6: Final answer
    x = 395.86

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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.