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Finding the Fourth Proportional to 468.02, 645.84 and 258.18

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Solution

The fourth proportional to 468.02, 645.84 and 258.18 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 645.84 = 258.18 : x
  2. Step 2: Convert to fraction form
    468.02/645.84 = 258.18/x
  3. Step 3: Cross multiply
    468.02x = 645.84 × 258.18
  4. Step 4: Simplify right side
    468.02x = 166,742.97
  5. Step 5: Solve for x
    x = 166,742.97/468.02
  6. Step 6: Final answer
    x = 356.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.