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Finding the Fourth Proportional to 557.88, 769.89 and 325.01

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Solution

The fourth proportional to 557.88, 769.89 and 325.01 is: 448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.88 : 769.89 = 325.01 : x
  2. Step 2: Convert to fraction form
    557.88/769.89 = 325.01/x
  3. Step 3: Cross multiply
    557.88x = 769.89 × 325.01
  4. Step 4: Simplify right side
    557.88x = 250,218.10
  5. Step 5: Solve for x
    x = 250,218.10/557.88
  6. Step 6: Final answer
    x = 448.52

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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.