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Finding the Fourth Proportional to 501.30, 664.79 and 501.30

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Solution

The fourth proportional to 501.30, 664.79 and 501.30 is: 664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 664.79 = 501.30 : x
  2. Step 2: Convert to fraction form
    501.30/664.79 = 501.30/x
  3. Step 3: Cross multiply
    501.30x = 664.79 × 501.30
  4. Step 4: Simplify right side
    501.30x = 333,256.72
  5. Step 5: Solve for x
    x = 333,256.72/501.30
  6. Step 6: Final answer
    x = 664.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.