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Finding the Fourth Proportional to 605.34, 835.74 and 372.78

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Solution

The fourth proportional to 605.34, 835.74 and 372.78 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 835.74 = 372.78 : x
  2. Step 2: Convert to fraction form
    605.34/835.74 = 372.78/x
  3. Step 3: Cross multiply
    605.34x = 835.74 × 372.78
  4. Step 4: Simplify right side
    605.34x = 311,547.16
  5. Step 5: Solve for x
    x = 311,547.16/605.34
  6. Step 6: Final answer
    x = 514.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.