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Finding the Fourth Proportional to 435.60, 601.41 and 357.84

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Solution

The fourth proportional to 435.60, 601.41 and 357.84 is: 494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 601.41 = 357.84 : x
  2. Step 2: Convert to fraction form
    435.60/601.41 = 357.84/x
  3. Step 3: Cross multiply
    435.60x = 601.41 × 357.84
  4. Step 4: Simplify right side
    435.60x = 215,208.55
  5. Step 5: Solve for x
    x = 215,208.55/435.60
  6. Step 6: Final answer
    x = 494.05

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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.