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Finding the Fourth Proportional to 503.91, 695.68 and 304.78

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Solution

The fourth proportional to 503.91, 695.68 and 304.78 is: 420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.91 : 695.68 = 304.78 : x
  2. Step 2: Convert to fraction form
    503.91/695.68 = 304.78/x
  3. Step 3: Cross multiply
    503.91x = 695.68 × 304.78
  4. Step 4: Simplify right side
    503.91x = 212,026.09
  5. Step 5: Solve for x
    x = 212,026.09/503.91
  6. Step 6: Final answer
    x = 420.76

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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.