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Finding the Fourth Proportional to 503.69, 695.13 and 307.19

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Solution

The fourth proportional to 503.69, 695.13 and 307.19 is: 423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.69 : 695.13 = 307.19 : x
  2. Step 2: Convert to fraction form
    503.69/695.13 = 307.19/x
  3. Step 3: Cross multiply
    503.69x = 695.13 × 307.19
  4. Step 4: Simplify right side
    503.69x = 213,536.98
  5. Step 5: Solve for x
    x = 213,536.98/503.69
  6. Step 6: Final answer
    x = 423.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.