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Finding the Fourth Proportional to 503.82, 695.28 and 307.22

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Solution

The fourth proportional to 503.82, 695.28 and 307.22 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.82 : 695.28 = 307.22 : x
  2. Step 2: Convert to fraction form
    503.82/695.28 = 307.22/x
  3. Step 3: Cross multiply
    503.82x = 695.28 × 307.22
  4. Step 4: Simplify right side
    503.82x = 213,600.45
  5. Step 5: Solve for x
    x = 213,600.45/503.82
  6. Step 6: Final answer
    x = 423.96

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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.