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Finding the Fourth Proportional to 652.06, 899.83 and 357.33

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Solution

The fourth proportional to 652.06, 899.83 and 357.33 is: 493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 899.83 = 357.33 : x
  2. Step 2: Convert to fraction form
    652.06/899.83 = 357.33/x
  3. Step 3: Cross multiply
    652.06x = 899.83 × 357.33
  4. Step 4: Simplify right side
    652.06x = 321,536.25
  5. Step 5: Solve for x
    x = 321,536.25/652.06
  6. Step 6: Final answer
    x = 493.11

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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.