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Finding the Fourth Proportional to 427.55, 589.86 and 241.00

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Solution

The fourth proportional to 427.55, 589.86 and 241.00 is: 332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.55 : 589.86 = 241.00 : x
  2. Step 2: Convert to fraction form
    427.55/589.86 = 241.00/x
  3. Step 3: Cross multiply
    427.55x = 589.86 × 241.00
  4. Step 4: Simplify right side
    427.55x = 142,155.77
  5. Step 5: Solve for x
    x = 142,155.77/427.55
  6. Step 6: Final answer
    x = 332.49

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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.