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Finding the Fourth Proportional to 504.17, 695.73 and 280.09

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Solution

The fourth proportional to 504.17, 695.73 and 280.09 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.17 : 695.73 = 280.09 : x
  2. Step 2: Convert to fraction form
    504.17/695.73 = 280.09/x
  3. Step 3: Cross multiply
    504.17x = 695.73 × 280.09
  4. Step 4: Simplify right side
    504.17x = 194,867.02
  5. Step 5: Solve for x
    x = 194,867.02/504.17
  6. Step 6: Final answer
    x = 386.51

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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.