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Finding the Fourth Proportional to 469.96, 704.06 and 419.12

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Solution

The fourth proportional to 469.96, 704.06 and 419.12 is: 627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.96 : 704.06 = 419.12 : x
  2. Step 2: Convert to fraction form
    469.96/704.06 = 419.12/x
  3. Step 3: Cross multiply
    469.96x = 704.06 × 419.12
  4. Step 4: Simplify right side
    469.96x = 295,085.63
  5. Step 5: Solve for x
    x = 295,085.63/469.96
  6. Step 6: Final answer
    x = 627.90

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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.