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Finding the Fourth Proportional to 913.66, 1,370.42 and 297.38

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Solution

The fourth proportional to 913.66, 1,370.42 and 297.38 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.66 : 1,370.42 = 297.38 : x
  2. Step 2: Convert to fraction form
    913.66/1,370.42 = 297.38/x
  3. Step 3: Cross multiply
    913.66x = 1,370.42 × 297.38
  4. Step 4: Simplify right side
    913.66x = 407,535.50
  5. Step 5: Solve for x
    x = 407,535.50/913.66
  6. Step 6: Final answer
    x = 446.05

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Why These Related Problems?

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