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Finding the Fourth Proportional to 405.64, 608.10 and 145.46

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Solution

The fourth proportional to 405.64, 608.10 and 145.46 is: 218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.64 : 608.10 = 145.46 : x
  2. Step 2: Convert to fraction form
    405.64/608.10 = 145.46/x
  3. Step 3: Cross multiply
    405.64x = 608.10 × 145.46
  4. Step 4: Simplify right side
    405.64x = 88,454.23
  5. Step 5: Solve for x
    x = 88,454.23/405.64
  6. Step 6: Final answer
    x = 218.06

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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.