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Finding the Fourth Proportional to 511.35, 705.65 and 298.70

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Solution

The fourth proportional to 511.35, 705.65 and 298.70 is: 412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.35 : 705.65 = 298.70 : x
  2. Step 2: Convert to fraction form
    511.35/705.65 = 298.70/x
  3. Step 3: Cross multiply
    511.35x = 705.65 × 298.70
  4. Step 4: Simplify right side
    511.35x = 210,772.63
  5. Step 5: Solve for x
    x = 210,772.63/511.35
  6. Step 6: Final answer
    x = 412.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.