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Finding the Fourth Proportional to 910.38, 1,364.61 and 362.34

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Solution

The fourth proportional to 910.38, 1,364.61 and 362.34 is: 543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.38 : 1,364.61 = 362.34 : x
  2. Step 2: Convert to fraction form
    910.38/1,364.61 = 362.34/x
  3. Step 3: Cross multiply
    910.38x = 1,364.61 × 362.34
  4. Step 4: Simplify right side
    910.38x = 494,452.79
  5. Step 5: Solve for x
    x = 494,452.79/910.38
  6. Step 6: Final answer
    x = 543.13

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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.