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Finding the Fourth Proportional to 505.66, 698.56 and 400.41

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Solution

The fourth proportional to 505.66, 698.56 and 400.41 is: 553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 698.56 = 400.41 : x
  2. Step 2: Convert to fraction form
    505.66/698.56 = 400.41/x
  3. Step 3: Cross multiply
    505.66x = 698.56 × 400.41
  4. Step 4: Simplify right side
    505.66x = 279,709.41
  5. Step 5: Solve for x
    x = 279,709.41/505.66
  6. Step 6: Final answer
    x = 553.16

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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.