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Finding the Fourth Proportional to 686.27, 946.62 and 437.50

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Solution

The fourth proportional to 686.27, 946.62 and 437.50 is: 603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.27 : 946.62 = 437.50 : x
  2. Step 2: Convert to fraction form
    686.27/946.62 = 437.50/x
  3. Step 3: Cross multiply
    686.27x = 946.62 × 437.50
  4. Step 4: Simplify right side
    686.27x = 414,147.43
  5. Step 5: Solve for x
    x = 414,147.43/686.27
  6. Step 6: Final answer
    x = 603.47

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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.