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Finding the Fourth Proportional to 913.95, 1,370.39 and 297.68

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Solution

The fourth proportional to 913.95, 1,370.39 and 297.68 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.95 : 1,370.39 = 297.68 : x
  2. Step 2: Convert to fraction form
    913.95/1,370.39 = 297.68/x
  3. Step 3: Cross multiply
    913.95x = 1,370.39 × 297.68
  4. Step 4: Simplify right side
    913.95x = 407,929.35
  5. Step 5: Solve for x
    x = 407,929.35/913.95
  6. Step 6: Final answer
    x = 446.34

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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.