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Finding the Fourth Proportional to 427.90, 589.48 and 407.05

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Solution

The fourth proportional to 427.90, 589.48 and 407.05 is: 560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.90 : 589.48 = 407.05 : x
  2. Step 2: Convert to fraction form
    427.90/589.48 = 407.05/x
  3. Step 3: Cross multiply
    427.90x = 589.48 × 407.05
  4. Step 4: Simplify right side
    427.90x = 239,949.49
  5. Step 5: Solve for x
    x = 239,949.49/427.90
  6. Step 6: Final answer
    x = 560.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.