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Finding the Fourth Proportional to 469.84, 704.82 and 145.25

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Solution

The fourth proportional to 469.84, 704.82 and 145.25 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 704.82 = 145.25 : x
  2. Step 2: Convert to fraction form
    469.84/704.82 = 145.25/x
  3. Step 3: Cross multiply
    469.84x = 704.82 × 145.25
  4. Step 4: Simplify right side
    469.84x = 102,375.11
  5. Step 5: Solve for x
    x = 102,375.11/469.84
  6. Step 6: Final answer
    x = 217.90

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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.