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Finding the Fourth Proportional to 652.26, 900.09 and 357.54

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Solution

The fourth proportional to 652.26, 900.09 and 357.54 is: 493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.26 : 900.09 = 357.54 : x
  2. Step 2: Convert to fraction form
    652.26/900.09 = 357.54/x
  3. Step 3: Cross multiply
    652.26x = 900.09 × 357.54
  4. Step 4: Simplify right side
    652.26x = 321,818.18
  5. Step 5: Solve for x
    x = 321,818.18/652.26
  6. Step 6: Final answer
    x = 493.39

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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.