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Finding the Fourth Proportional to 405.21, 607.77 and 116.63

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Solution

The fourth proportional to 405.21, 607.77 and 116.63 is: 174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.21 : 607.77 = 116.63 : x
  2. Step 2: Convert to fraction form
    405.21/607.77 = 116.63/x
  3. Step 3: Cross multiply
    405.21x = 607.77 × 116.63
  4. Step 4: Simplify right side
    405.21x = 70,884.22
  5. Step 5: Solve for x
    x = 70,884.22/405.21
  6. Step 6: Final answer
    x = 174.93

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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.