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Finding the Fourth Proportional to 501.08, 691.47 and 277.03

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Solution

The fourth proportional to 501.08, 691.47 and 277.03 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.08 : 691.47 = 277.03 : x
  2. Step 2: Convert to fraction form
    501.08/691.47 = 277.03/x
  3. Step 3: Cross multiply
    501.08x = 691.47 × 277.03
  4. Step 4: Simplify right side
    501.08x = 191,556.21
  5. Step 5: Solve for x
    x = 191,556.21/501.08
  6. Step 6: Final answer
    x = 382.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.