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Finding the Fourth Proportional to 501.65, 748.05 and 467.02

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Solution

The fourth proportional to 501.65, 748.05 and 467.02 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.65 : 748.05 = 467.02 : x
  2. Step 2: Convert to fraction form
    501.65/748.05 = 467.02/x
  3. Step 3: Cross multiply
    501.65x = 748.05 × 467.02
  4. Step 4: Simplify right side
    501.65x = 349,351.98
  5. Step 5: Solve for x
    x = 349,351.98/501.65
  6. Step 6: Final answer
    x = 696.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.