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Finding the Fourth Proportional to 686.66, 1,030.18 and 296.46

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Solution

The fourth proportional to 686.66, 1,030.18 and 296.46 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.66 : 1,030.18 = 296.46 : x
  2. Step 2: Convert to fraction form
    686.66/1,030.18 = 296.46/x
  3. Step 3: Cross multiply
    686.66x = 1,030.18 × 296.46
  4. Step 4: Simplify right side
    686.66x = 305,407.16
  5. Step 5: Solve for x
    x = 305,407.16/686.66
  6. Step 6: Final answer
    x = 444.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.