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Finding the Fourth Proportional to 405.48, 608.16 and 145.44

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Solution

The fourth proportional to 405.48, 608.16 and 145.44 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 608.16 = 145.44 : x
  2. Step 2: Convert to fraction form
    405.48/608.16 = 145.44/x
  3. Step 3: Cross multiply
    405.48x = 608.16 × 145.44
  4. Step 4: Simplify right side
    405.48x = 88,447.02
  5. Step 5: Solve for x
    x = 88,447.02/405.48
  6. Step 6: Final answer
    x = 218.13

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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.