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Finding the Fourth Proportional to 419.01, 578.30 and 284.36

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Solution

The fourth proportional to 419.01, 578.30 and 284.36 is: 392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.01 : 578.30 = 284.36 : x
  2. Step 2: Convert to fraction form
    419.01/578.30 = 284.36/x
  3. Step 3: Cross multiply
    419.01x = 578.30 × 284.36
  4. Step 4: Simplify right side
    419.01x = 164,441.07
  5. Step 5: Solve for x
    x = 164,441.07/419.01
  6. Step 6: Final answer
    x = 392.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.