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Finding the Fourth Proportional to 501.77, 752.66 and 329.53

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Solution

The fourth proportional to 501.77, 752.66 and 329.53 is: 494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.77 : 752.66 = 329.53 : x
  2. Step 2: Convert to fraction form
    501.77/752.66 = 329.53/x
  3. Step 3: Cross multiply
    501.77x = 752.66 × 329.53
  4. Step 4: Simplify right side
    501.77x = 248,020.52
  5. Step 5: Solve for x
    x = 248,020.52/501.77
  6. Step 6: Final answer
    x = 494.29

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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.