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Finding the Fourth Proportional to 458.42, 687.08 and 211.58

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Solution

The fourth proportional to 458.42, 687.08 and 211.58 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 687.08 = 211.58 : x
  2. Step 2: Convert to fraction form
    458.42/687.08 = 211.58/x
  3. Step 3: Cross multiply
    458.42x = 687.08 × 211.58
  4. Step 4: Simplify right side
    458.42x = 145,372.39
  5. Step 5: Solve for x
    x = 145,372.39/458.42
  6. Step 6: Final answer
    x = 317.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.