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Finding the Fourth Proportional to 501.11, 691.53 and 277.06

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Solution

The fourth proportional to 501.11, 691.53 and 277.06 is: 382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.11 : 691.53 = 277.06 : x
  2. Step 2: Convert to fraction form
    501.11/691.53 = 277.06/x
  3. Step 3: Cross multiply
    501.11x = 691.53 × 277.06
  4. Step 4: Simplify right side
    501.11x = 191,593.57
  5. Step 5: Solve for x
    x = 191,593.57/501.11
  6. Step 6: Final answer
    x = 382.34

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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.