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Finding the Fourth Proportional to 469.67, 705.11 and 397.98

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Solution

The fourth proportional to 469.67, 705.11 and 397.98 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.67 : 705.11 = 397.98 : x
  2. Step 2: Convert to fraction form
    469.67/705.11 = 397.98/x
  3. Step 3: Cross multiply
    469.67x = 705.11 × 397.98
  4. Step 4: Simplify right side
    469.67x = 280,617.69
  5. Step 5: Solve for x
    x = 280,617.69/469.67
  6. Step 6: Final answer
    x = 597.48

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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.