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Finding the Fourth Proportional to 602.10, 830.77 and 353.50

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Solution

The fourth proportional to 602.10, 830.77 and 353.50 is: 487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 830.77 = 353.50 : x
  2. Step 2: Convert to fraction form
    602.10/830.77 = 353.50/x
  3. Step 3: Cross multiply
    602.10x = 830.77 × 353.50
  4. Step 4: Simplify right side
    602.10x = 293,677.20
  5. Step 5: Solve for x
    x = 293,677.20/602.10
  6. Step 6: Final answer
    x = 487.75

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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.