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Finding the Fourth Proportional to 458.66, 687.55 and 212.03

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Solution

The fourth proportional to 458.66, 687.55 and 212.03 is: 317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.66 : 687.55 = 212.03 : x
  2. Step 2: Convert to fraction form
    458.66/687.55 = 212.03/x
  3. Step 3: Cross multiply
    458.66x = 687.55 × 212.03
  4. Step 4: Simplify right side
    458.66x = 145,781.23
  5. Step 5: Solve for x
    x = 145,781.23/458.66
  6. Step 6: Final answer
    x = 317.84

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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.