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Finding the Fourth Proportional to 652.19, 899.99 and 357.41

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Solution

The fourth proportional to 652.19, 899.99 and 357.41 is: 493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.19 : 899.99 = 357.41 : x
  2. Step 2: Convert to fraction form
    652.19/899.99 = 357.41/x
  3. Step 3: Cross multiply
    652.19x = 899.99 × 357.41
  4. Step 4: Simplify right side
    652.19x = 321,659.14
  5. Step 5: Solve for x
    x = 321,659.14/652.19
  6. Step 6: Final answer
    x = 493.20

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Why These Related Problems?

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