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Finding the Fourth Proportional to 559.76, 772.54 and 427.16

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Solution

The fourth proportional to 559.76, 772.54 and 427.16 is: 589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.76 : 772.54 = 427.16 : x
  2. Step 2: Convert to fraction form
    559.76/772.54 = 427.16/x
  3. Step 3: Cross multiply
    559.76x = 772.54 × 427.16
  4. Step 4: Simplify right side
    559.76x = 329,999.05
  5. Step 5: Solve for x
    x = 329,999.05/559.76
  6. Step 6: Final answer
    x = 589.54

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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.