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Finding the Fourth Proportional to 686.13, 947.19 and 424.32

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Solution

The fourth proportional to 686.13, 947.19 and 424.32 is: 585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.13 : 947.19 = 424.32 : x
  2. Step 2: Convert to fraction form
    686.13/947.19 = 424.32/x
  3. Step 3: Cross multiply
    686.13x = 947.19 × 424.32
  4. Step 4: Simplify right side
    686.13x = 401,911.66
  5. Step 5: Solve for x
    x = 401,911.66/686.13
  6. Step 6: Final answer
    x = 585.77

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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.