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Finding the Fourth Proportional to 405.72, 559.50 and 294.90

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Solution

The fourth proportional to 405.72, 559.50 and 294.90 is: 406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 559.50 = 294.90 : x
  2. Step 2: Convert to fraction form
    405.72/559.50 = 294.90/x
  3. Step 3: Cross multiply
    405.72x = 559.50 × 294.90
  4. Step 4: Simplify right side
    405.72x = 164,996.55
  5. Step 5: Solve for x
    x = 164,996.55/405.72
  6. Step 6: Final answer
    x = 406.68

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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.