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Finding the Fourth Proportional to 427.30, 589.64 and 240.74

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Solution

The fourth proportional to 427.30, 589.64 and 240.74 is: 332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.30 : 589.64 = 240.74 : x
  2. Step 2: Convert to fraction form
    427.30/589.64 = 240.74/x
  3. Step 3: Cross multiply
    427.30x = 589.64 × 240.74
  4. Step 4: Simplify right side
    427.30x = 141,949.93
  5. Step 5: Solve for x
    x = 141,949.93/427.30
  6. Step 6: Final answer
    x = 332.20

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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.