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Finding the Fourth Proportional to 652.19, 899.93 and 357.44

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Solution

The fourth proportional to 652.19, 899.93 and 357.44 is: 493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.19 : 899.93 = 357.44 : x
  2. Step 2: Convert to fraction form
    652.19/899.93 = 357.44/x
  3. Step 3: Cross multiply
    652.19x = 899.93 × 357.44
  4. Step 4: Simplify right side
    652.19x = 321,667.37
  5. Step 5: Solve for x
    x = 321,667.37/652.19
  6. Step 6: Final answer
    x = 493.21

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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.