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Finding the Fourth Proportional to 559.00, 838.65 and 284.94

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Solution

The fourth proportional to 559.00, 838.65 and 284.94 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.00 : 838.65 = 284.94 : x
  2. Step 2: Convert to fraction form
    559.00/838.65 = 284.94/x
  3. Step 3: Cross multiply
    559.00x = 838.65 × 284.94
  4. Step 4: Simplify right side
    559.00x = 238,968.36
  5. Step 5: Solve for x
    x = 238,968.36/559.00
  6. Step 6: Final answer
    x = 427.49

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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.