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Finding the Fourth Proportional to 651.62, 899.10 and 386.15

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Solution

The fourth proportional to 651.62, 899.10 and 386.15 is: 532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.62 : 899.10 = 386.15 : x
  2. Step 2: Convert to fraction form
    651.62/899.10 = 386.15/x
  3. Step 3: Cross multiply
    651.62x = 899.10 × 386.15
  4. Step 4: Simplify right side
    651.62x = 347,182.97
  5. Step 5: Solve for x
    x = 347,182.97/651.62
  6. Step 6: Final answer
    x = 532.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.