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Finding the Fourth Proportional to 914, 1,370.25 and 365.65

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Solution

The fourth proportional to 914, 1,370.25 and 365.65 is: 548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,370.25 = 365.65 : x
  2. Step 2: Convert to fraction form
    914/1,370.25 = 365.65/x
  3. Step 3: Cross multiply
    914x = 1,370.25 × 365.65
  4. Step 4: Simplify right side
    914x = 501,031.91
  5. Step 5: Solve for x
    x = 501,031.91/914
  6. Step 6: Final answer
    x = 548.17

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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.