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Finding the Fourth Proportional to 501.22, 751.54 and 385.36

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Solution

The fourth proportional to 501.22, 751.54 and 385.36 is: 577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.22 : 751.54 = 385.36 : x
  2. Step 2: Convert to fraction form
    501.22/751.54 = 385.36/x
  3. Step 3: Cross multiply
    501.22x = 751.54 × 385.36
  4. Step 4: Simplify right side
    501.22x = 289,613.45
  5. Step 5: Solve for x
    x = 289,613.45/501.22
  6. Step 6: Final answer
    x = 577.82

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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.