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Finding the Fourth Proportional to 602.34, 830.96 and 353.62

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Solution

The fourth proportional to 602.34, 830.96 and 353.62 is: 487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.34 : 830.96 = 353.62 : x
  2. Step 2: Convert to fraction form
    602.34/830.96 = 353.62/x
  3. Step 3: Cross multiply
    602.34x = 830.96 × 353.62
  4. Step 4: Simplify right side
    602.34x = 293,840.00
  5. Step 5: Solve for x
    x = 293,840.00/602.34
  6. Step 6: Final answer
    x = 487.83

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1.5x scale

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.