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Finding the Fourth Proportional to 503.80, 695.25 and 279.74

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Solution

The fourth proportional to 503.80, 695.25 and 279.74 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 695.25 = 279.74 : x
  2. Step 2: Convert to fraction form
    503.80/695.25 = 279.74/x
  3. Step 3: Cross multiply
    503.80x = 695.25 × 279.74
  4. Step 4: Simplify right side
    503.80x = 194,489.24
  5. Step 5: Solve for x
    x = 194,489.24/503.80
  6. Step 6: Final answer
    x = 386.04

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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.