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Finding the Fourth Proportional to 469.48, 702.62 and 406.12

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Solution

The fourth proportional to 469.48, 702.62 and 406.12 is: 607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 702.62 = 406.12 : x
  2. Step 2: Convert to fraction form
    469.48/702.62 = 406.12/x
  3. Step 3: Cross multiply
    469.48x = 702.62 × 406.12
  4. Step 4: Simplify right side
    469.48x = 285,348.03
  5. Step 5: Solve for x
    x = 285,348.03/469.48
  6. Step 6: Final answer
    x = 607.80

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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.