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Finding the Fourth Proportional to 469.71, 704.58 and 284.66

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Solution

The fourth proportional to 469.71, 704.58 and 284.66 is: 426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.71 : 704.58 = 284.66 : x
  2. Step 2: Convert to fraction form
    469.71/704.58 = 284.66/x
  3. Step 3: Cross multiply
    469.71x = 704.58 × 284.66
  4. Step 4: Simplify right side
    469.71x = 200,563.79
  5. Step 5: Solve for x
    x = 200,563.79/469.71
  6. Step 6: Final answer
    x = 426.99

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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.