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Finding the Fourth Proportional to 442.40, 659.86 and 412.16

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Solution

The fourth proportional to 442.40, 659.86 and 412.16 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 659.86 = 412.16 : x
  2. Step 2: Convert to fraction form
    442.40/659.86 = 412.16/x
  3. Step 3: Cross multiply
    442.40x = 659.86 × 412.16
  4. Step 4: Simplify right side
    442.40x = 271,967.90
  5. Step 5: Solve for x
    x = 271,967.90/442.40
  6. Step 6: Final answer
    x = 614.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.