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Finding the Fourth Proportional to 503.65, 695.11 and 307.27

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Solution

The fourth proportional to 503.65, 695.11 and 307.27 is: 424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 695.11 = 307.27 : x
  2. Step 2: Convert to fraction form
    503.65/695.11 = 307.27/x
  3. Step 3: Cross multiply
    503.65x = 695.11 × 307.27
  4. Step 4: Simplify right side
    503.65x = 213,589.51
  5. Step 5: Solve for x
    x = 213,589.51/503.65
  6. Step 6: Final answer
    x = 424.08

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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.