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Finding the Fourth Proportional to 503.89, 695.34 and 296.89

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Solution

The fourth proportional to 503.89, 695.34 and 296.89 is: 409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.89 : 695.34 = 296.89 : x
  2. Step 2: Convert to fraction form
    503.89/695.34 = 296.89/x
  3. Step 3: Cross multiply
    503.89x = 695.34 × 296.89
  4. Step 4: Simplify right side
    503.89x = 206,439.49
  5. Step 5: Solve for x
    x = 206,439.49/503.89
  6. Step 6: Final answer
    x = 409.69

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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.