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Finding the Fourth Proportional to 890.38, 1,335.07 and 305.11

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Solution

The fourth proportional to 890.38, 1,335.07 and 305.11 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.38 : 1,335.07 = 305.11 : x
  2. Step 2: Convert to fraction form
    890.38/1,335.07 = 305.11/x
  3. Step 3: Cross multiply
    890.38x = 1,335.07 × 305.11
  4. Step 4: Simplify right side
    890.38x = 407,343.21
  5. Step 5: Solve for x
    x = 407,343.21/890.38
  6. Step 6: Final answer
    x = 457.49

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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.