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Finding the Fourth Proportional to 501.40, 751.29 and 399.34

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Solution

The fourth proportional to 501.40, 751.29 and 399.34 is: 598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.40 : 751.29 = 399.34 : x
  2. Step 2: Convert to fraction form
    501.40/751.29 = 399.34/x
  3. Step 3: Cross multiply
    501.40x = 751.29 × 399.34
  4. Step 4: Simplify right side
    501.40x = 300,020.15
  5. Step 5: Solve for x
    x = 300,020.15/501.40
  6. Step 6: Final answer
    x = 598.36

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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.