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Finding the Fourth Proportional to 602.13, 830.95 and 353.36

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Solution

The fourth proportional to 602.13, 830.95 and 353.36 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.13 : 830.95 = 353.36 : x
  2. Step 2: Convert to fraction form
    602.13/830.95 = 353.36/x
  3. Step 3: Cross multiply
    602.13x = 830.95 × 353.36
  4. Step 4: Simplify right side
    602.13x = 293,620.34
  5. Step 5: Solve for x
    x = 293,620.34/602.13
  6. Step 6: Final answer
    x = 487.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.