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Finding the Fourth Proportional to 511.35, 705.64 and 298.69

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Solution

The fourth proportional to 511.35, 705.64 and 298.69 is: 412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.35 : 705.64 = 298.69 : x
  2. Step 2: Convert to fraction form
    511.35/705.64 = 298.69/x
  3. Step 3: Cross multiply
    511.35x = 705.64 × 298.69
  4. Step 4: Simplify right side
    511.35x = 210,767.61
  5. Step 5: Solve for x
    x = 210,767.61/511.35
  6. Step 6: Final answer
    x = 412.18

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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.