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Finding the Fourth Proportional to 889.65, 1,334.58 and 312.39

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Solution

The fourth proportional to 889.65, 1,334.58 and 312.39 is: 468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.65 : 1,334.58 = 312.39 : x
  2. Step 2: Convert to fraction form
    889.65/1,334.58 = 312.39/x
  3. Step 3: Cross multiply
    889.65x = 1,334.58 × 312.39
  4. Step 4: Simplify right side
    889.65x = 416,909.45
  5. Step 5: Solve for x
    x = 416,909.45/889.65
  6. Step 6: Final answer
    x = 468.62

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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.