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Finding the Fourth Proportional to 469.99, 703.82 and 284.80

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Solution

The fourth proportional to 469.99, 703.82 and 284.80 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.99 : 703.82 = 284.80 : x
  2. Step 2: Convert to fraction form
    469.99/703.82 = 284.80/x
  3. Step 3: Cross multiply
    469.99x = 703.82 × 284.80
  4. Step 4: Simplify right side
    469.99x = 200,442.99
  5. Step 5: Solve for x
    x = 200,442.99/469.99
  6. Step 6: Final answer
    x = 426.48

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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.