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Finding the Fourth Proportional to 319.55, 477.09 and 284.72

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Solution

The fourth proportional to 319.55, 477.09 and 284.72 is: 425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 477.09 = 284.72 : x
  2. Step 2: Convert to fraction form
    319.55/477.09 = 284.72/x
  3. Step 3: Cross multiply
    319.55x = 477.09 × 284.72
  4. Step 4: Simplify right side
    319.55x = 135,834.68
  5. Step 5: Solve for x
    x = 135,834.68/319.55
  6. Step 6: Final answer
    x = 425.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.