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Finding the Fourth Proportional to 501.36, 691.87 and 277.29

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Solution

The fourth proportional to 501.36, 691.87 and 277.29 is: 382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 691.87 = 277.29 : x
  2. Step 2: Convert to fraction form
    501.36/691.87 = 277.29/x
  3. Step 3: Cross multiply
    501.36x = 691.87 × 277.29
  4. Step 4: Simplify right side
    501.36x = 191,848.63
  5. Step 5: Solve for x
    x = 191,848.63/501.36
  6. Step 6: Final answer
    x = 382.66

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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.