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Finding the Fourth Proportional to 405.52, 607.34 and 266.24

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Solution

The fourth proportional to 405.52, 607.34 and 266.24 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 607.34 = 266.24 : x
  2. Step 2: Convert to fraction form
    405.52/607.34 = 266.24/x
  3. Step 3: Cross multiply
    405.52x = 607.34 × 266.24
  4. Step 4: Simplify right side
    405.52x = 161,698.20
  5. Step 5: Solve for x
    x = 161,698.20/405.52
  6. Step 6: Final answer
    x = 398.74

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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.