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Finding the Fourth Proportional to 501.48, 755.97 and 468.03

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Solution

The fourth proportional to 501.48, 755.97 and 468.03 is: 705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 755.97 = 468.03 : x
  2. Step 2: Convert to fraction form
    501.48/755.97 = 468.03/x
  3. Step 3: Cross multiply
    501.48x = 755.97 × 468.03
  4. Step 4: Simplify right side
    501.48x = 353,816.64
  5. Step 5: Solve for x
    x = 353,816.64/501.48
  6. Step 6: Final answer
    x = 705.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.