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Finding the Fourth Proportional to 601.43, 830.05 and 352.85

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Solution

The fourth proportional to 601.43, 830.05 and 352.85 is: 486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.43 : 830.05 = 352.85 : x
  2. Step 2: Convert to fraction form
    601.43/830.05 = 352.85/x
  3. Step 3: Cross multiply
    601.43x = 830.05 × 352.85
  4. Step 4: Simplify right side
    601.43x = 292,878.99
  5. Step 5: Solve for x
    x = 292,878.99/601.43
  6. Step 6: Final answer
    x = 486.98

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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.