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Finding the Fourth Proportional to 557.74, 769.80 and 427.06

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Solution

The fourth proportional to 557.74, 769.80 and 427.06 is: 589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.74 : 769.80 = 427.06 : x
  2. Step 2: Convert to fraction form
    557.74/769.80 = 427.06/x
  3. Step 3: Cross multiply
    557.74x = 769.80 × 427.06
  4. Step 4: Simplify right side
    557.74x = 328,750.79
  5. Step 5: Solve for x
    x = 328,750.79/557.74
  6. Step 6: Final answer
    x = 589.43

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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.