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Finding the Fourth Proportional to 601.26, 901.29 and 370.02

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Solution

The fourth proportional to 601.26, 901.29 and 370.02 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 901.29 = 370.02 : x
  2. Step 2: Convert to fraction form
    601.26/901.29 = 370.02/x
  3. Step 3: Cross multiply
    601.26x = 901.29 × 370.02
  4. Step 4: Simplify right side
    601.26x = 333,495.33
  5. Step 5: Solve for x
    x = 333,495.33/601.26
  6. Step 6: Final answer
    x = 554.66

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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.