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Finding the Fourth Proportional to 973.99, 1,461.21 and 280.66

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Solution

The fourth proportional to 973.99, 1,461.21 and 280.66 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.99 : 1,461.21 = 280.66 : x
  2. Step 2: Convert to fraction form
    973.99/1,461.21 = 280.66/x
  3. Step 3: Cross multiply
    973.99x = 1,461.21 × 280.66
  4. Step 4: Simplify right side
    973.99x = 410,101.80
  5. Step 5: Solve for x
    x = 410,101.80/973.99
  6. Step 6: Final answer
    x = 421.06

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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.