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Finding the Fourth Proportional to 601.90, 902.40 and 385.06

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Solution

The fourth proportional to 601.90, 902.40 and 385.06 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 902.40 = 385.06 : x
  2. Step 2: Convert to fraction form
    601.90/902.40 = 385.06/x
  3. Step 3: Cross multiply
    601.90x = 902.40 × 385.06
  4. Step 4: Simplify right side
    601.90x = 347,478.14
  5. Step 5: Solve for x
    x = 347,478.14/601.90
  6. Step 6: Final answer
    x = 577.30

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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.