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Finding the Fourth Proportional to 889.69, 1,334.64 and 304.80

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Solution

The fourth proportional to 889.69, 1,334.64 and 304.80 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.69 : 1,334.64 = 304.80 : x
  2. Step 2: Convert to fraction form
    889.69/1,334.64 = 304.80/x
  3. Step 3: Cross multiply
    889.69x = 1,334.64 × 304.80
  4. Step 4: Simplify right side
    889.69x = 406,798.27
  5. Step 5: Solve for x
    x = 406,798.27/889.69
  6. Step 6: Final answer
    x = 457.24

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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.