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Finding the Fourth Proportional to 501.53, 751.37 and 295.52

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Solution

The fourth proportional to 501.53, 751.37 and 295.52 is: 442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 751.37 = 295.52 : x
  2. Step 2: Convert to fraction form
    501.53/751.37 = 295.52/x
  3. Step 3: Cross multiply
    501.53x = 751.37 × 295.52
  4. Step 4: Simplify right side
    501.53x = 222,039.63
  5. Step 5: Solve for x
    x = 222,039.63/501.53
  6. Step 6: Final answer
    x = 442.73

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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.