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Finding the Fourth Proportional to 890.16, 1,334.71 and 305.03

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Solution

The fourth proportional to 890.16, 1,334.71 and 305.03 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.16 : 1,334.71 = 305.03 : x
  2. Step 2: Convert to fraction form
    890.16/1,334.71 = 305.03/x
  3. Step 3: Cross multiply
    890.16x = 1,334.71 × 305.03
  4. Step 4: Simplify right side
    890.16x = 407,130.31
  5. Step 5: Solve for x
    x = 407,130.31/890.16
  6. Step 6: Final answer
    x = 457.37

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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.