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Finding the Fourth Proportional to 601.83, 902.46 and 379.53

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Solution

The fourth proportional to 601.83, 902.46 and 379.53 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.83 : 902.46 = 379.53 : x
  2. Step 2: Convert to fraction form
    601.83/902.46 = 379.53/x
  3. Step 3: Cross multiply
    601.83x = 902.46 × 379.53
  4. Step 4: Simplify right side
    601.83x = 342,510.64
  5. Step 5: Solve for x
    x = 342,510.64/601.83
  6. Step 6: Final answer
    x = 569.12

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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.