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Finding the Fourth Proportional to 652.40, 899.86 and 465.88

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Solution

The fourth proportional to 652.40, 899.86 and 465.88 is: 642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.40 : 899.86 = 465.88 : x
  2. Step 2: Convert to fraction form
    652.40/899.86 = 465.88/x
  3. Step 3: Cross multiply
    652.40x = 899.86 × 465.88
  4. Step 4: Simplify right side
    652.40x = 419,226.78
  5. Step 5: Solve for x
    x = 419,226.78/652.40
  6. Step 6: Final answer
    x = 642.59

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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.