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Finding the Fourth Proportional to 501.05, 751.07 and 295.58

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Solution

The fourth proportional to 501.05, 751.07 and 295.58 is: 443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.05 : 751.07 = 295.58 : x
  2. Step 2: Convert to fraction form
    501.05/751.07 = 295.58/x
  3. Step 3: Cross multiply
    501.05x = 751.07 × 295.58
  4. Step 4: Simplify right side
    501.05x = 221,996.04
  5. Step 5: Solve for x
    x = 221,996.04/501.05
  6. Step 6: Final answer
    x = 443.07

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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.