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Finding the Fourth Proportional to 412.21, 617.19 and 354.16

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Solution

The fourth proportional to 412.21, 617.19 and 354.16 is: 530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.21 : 617.19 = 354.16 : x
  2. Step 2: Convert to fraction form
    412.21/617.19 = 354.16/x
  3. Step 3: Cross multiply
    412.21x = 617.19 × 354.16
  4. Step 4: Simplify right side
    412.21x = 218,584.01
  5. Step 5: Solve for x
    x = 218,584.01/412.21
  6. Step 6: Final answer
    x = 530.27

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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.