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Finding the Fourth Proportional to 405.53, 559.77 and 281.35

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Solution

The fourth proportional to 405.53, 559.77 and 281.35 is: 388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.53 : 559.77 = 281.35 : x
  2. Step 2: Convert to fraction form
    405.53/559.77 = 281.35/x
  3. Step 3: Cross multiply
    405.53x = 559.77 × 281.35
  4. Step 4: Simplify right side
    405.53x = 157,490.93
  5. Step 5: Solve for x
    x = 157,490.93/405.53
  6. Step 6: Final answer
    x = 388.36

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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.