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Finding the Fourth Proportional to 652.07, 899.83 and 357.29

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Solution

The fourth proportional to 652.07, 899.83 and 357.29 is: 493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.07 : 899.83 = 357.29 : x
  2. Step 2: Convert to fraction form
    652.07/899.83 = 357.29/x
  3. Step 3: Cross multiply
    652.07x = 899.83 × 357.29
  4. Step 4: Simplify right side
    652.07x = 321,493.98
  5. Step 5: Solve for x
    x = 321,493.98/652.07
  6. Step 6: Final answer
    x = 493.04

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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.