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Finding the Fourth Proportional to 503.98, 695.42 and 282.94

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Solution

The fourth proportional to 503.98, 695.42 and 282.94 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.98 : 695.42 = 282.94 : x
  2. Step 2: Convert to fraction form
    503.98/695.42 = 282.94/x
  3. Step 3: Cross multiply
    503.98x = 695.42 × 282.94
  4. Step 4: Simplify right side
    503.98x = 196,758.66
  5. Step 5: Solve for x
    x = 196,758.66/503.98
  6. Step 6: Final answer
    x = 390.41

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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.