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Finding the Fourth Proportional to 405.60, 607.34 and 282.03

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Solution

The fourth proportional to 405.60, 607.34 and 282.03 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 607.34 = 282.03 : x
  2. Step 2: Convert to fraction form
    405.60/607.34 = 282.03/x
  3. Step 3: Cross multiply
    405.60x = 607.34 × 282.03
  4. Step 4: Simplify right side
    405.60x = 171,286.53
  5. Step 5: Solve for x
    x = 171,286.53/405.60
  6. Step 6: Final answer
    x = 422.31

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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.