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Finding the Fourth Proportional to 602.01, 830.95 and 353.34

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Solution

The fourth proportional to 602.01, 830.95 and 353.34 is: 487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.01 : 830.95 = 353.34 : x
  2. Step 2: Convert to fraction form
    602.01/830.95 = 353.34/x
  3. Step 3: Cross multiply
    602.01x = 830.95 × 353.34
  4. Step 4: Simplify right side
    602.01x = 293,606.99
  5. Step 5: Solve for x
    x = 293,606.99/602.01
  6. Step 6: Final answer
    x = 487.71

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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.