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Finding the Fourth Proportional to 602.06, 830.81 and 353.49

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Solution

The fourth proportional to 602.06, 830.81 and 353.49 is: 487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.06 : 830.81 = 353.49 : x
  2. Step 2: Convert to fraction form
    602.06/830.81 = 353.49/x
  3. Step 3: Cross multiply
    602.06x = 830.81 × 353.49
  4. Step 4: Simplify right side
    602.06x = 293,681.26
  5. Step 5: Solve for x
    x = 293,681.26/602.06
  6. Step 6: Final answer
    x = 487.80

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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.