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Finding the Fourth Proportional to 890.30, 1,335.41 and 370.16

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Solution

The fourth proportional to 890.30, 1,335.41 and 370.16 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.30 : 1,335.41 = 370.16 : x
  2. Step 2: Convert to fraction form
    890.30/1,335.41 = 370.16/x
  3. Step 3: Cross multiply
    890.30x = 1,335.41 × 370.16
  4. Step 4: Simplify right side
    890.30x = 494,306.84
  5. Step 5: Solve for x
    x = 494,306.84/890.30
  6. Step 6: Final answer
    x = 555.22

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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.