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Finding the Fourth Proportional to 601.60, 902.40 and 385.60

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Solution

The fourth proportional to 601.60, 902.40 and 385.60 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.60 : 902.40 = 385.60 : x
  2. Step 2: Convert to fraction form
    601.60/902.40 = 385.60/x
  3. Step 3: Cross multiply
    601.60x = 902.40 × 385.60
  4. Step 4: Simplify right side
    601.60x = 347,965.44
  5. Step 5: Solve for x
    x = 347,965.44/601.60
  6. Step 6: Final answer
    x = 578.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.