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Finding the Fourth Proportional to 460.83, 691.42 and 214.16

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Solution

The fourth proportional to 460.83, 691.42 and 214.16 is: 321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 691.42 = 214.16 : x
  2. Step 2: Convert to fraction form
    460.83/691.42 = 214.16/x
  3. Step 3: Cross multiply
    460.83x = 691.42 × 214.16
  4. Step 4: Simplify right side
    460.83x = 148,070.51
  5. Step 5: Solve for x
    x = 148,070.51/460.83
  6. Step 6: Final answer
    x = 321.31

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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.