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Finding the Fourth Proportional to 505.68, 698.18 and 412.66

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Solution

The fourth proportional to 505.68, 698.18 and 412.66 is: 569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 698.18 = 412.66 : x
  2. Step 2: Convert to fraction form
    505.68/698.18 = 412.66/x
  3. Step 3: Cross multiply
    505.68x = 698.18 × 412.66
  4. Step 4: Simplify right side
    505.68x = 288,110.96
  5. Step 5: Solve for x
    x = 288,110.96/505.68
  6. Step 6: Final answer
    x = 569.75

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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.