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Finding the Fourth Proportional to 652.87, 899.66 and 466.03

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Solution

The fourth proportional to 652.87, 899.66 and 466.03 is: 642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.87 : 899.66 = 466.03 : x
  2. Step 2: Convert to fraction form
    652.87/899.66 = 466.03/x
  3. Step 3: Cross multiply
    652.87x = 899.66 × 466.03
  4. Step 4: Simplify right side
    652.87x = 419,261.72
  5. Step 5: Solve for x
    x = 419,261.72/652.87
  6. Step 6: Final answer
    x = 642.19

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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.