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Finding the Fourth Proportional to 405.86, 559.64 and 274.64

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Solution

The fourth proportional to 405.86, 559.64 and 274.64 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 559.64 = 274.64 : x
  2. Step 2: Convert to fraction form
    405.86/559.64 = 274.64/x
  3. Step 3: Cross multiply
    405.86x = 559.64 × 274.64
  4. Step 4: Simplify right side
    405.86x = 153,695.36
  5. Step 5: Solve for x
    x = 153,695.36/405.86
  6. Step 6: Final answer
    x = 378.70

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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.