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Finding the Fourth Proportional to 466.21, 695.14 and 453.45

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Solution

The fourth proportional to 466.21, 695.14 and 453.45 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.21 : 695.14 = 453.45 : x
  2. Step 2: Convert to fraction form
    466.21/695.14 = 453.45/x
  3. Step 3: Cross multiply
    466.21x = 695.14 × 453.45
  4. Step 4: Simplify right side
    466.21x = 315,211.23
  5. Step 5: Solve for x
    x = 315,211.23/466.21
  6. Step 6: Final answer
    x = 676.11

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