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Finding the Fourth Proportional to 501.34, 751.46 and 241.46

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Solution

The fourth proportional to 501.34, 751.46 and 241.46 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.34 : 751.46 = 241.46 : x
  2. Step 2: Convert to fraction form
    501.34/751.46 = 241.46/x
  3. Step 3: Cross multiply
    501.34x = 751.46 × 241.46
  4. Step 4: Simplify right side
    501.34x = 181,447.53
  5. Step 5: Solve for x
    x = 181,447.53/501.34
  6. Step 6: Final answer
    x = 361.93

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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.