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Finding the Fourth Proportional to 405.42, 606.69 and 295.86

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Solution

The fourth proportional to 405.42, 606.69 and 295.86 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 606.69 = 295.86 : x
  2. Step 2: Convert to fraction form
    405.42/606.69 = 295.86/x
  3. Step 3: Cross multiply
    405.42x = 606.69 × 295.86
  4. Step 4: Simplify right side
    405.42x = 179,495.30
  5. Step 5: Solve for x
    x = 179,495.30/405.42
  6. Step 6: Final answer
    x = 442.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.