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Finding the Fourth Proportional to 427.04, 589.84 and 385.58

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Solution

The fourth proportional to 427.04, 589.84 and 385.58 is: 532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.04 : 589.84 = 385.58 : x
  2. Step 2: Convert to fraction form
    427.04/589.84 = 385.58/x
  3. Step 3: Cross multiply
    427.04x = 589.84 × 385.58
  4. Step 4: Simplify right side
    427.04x = 227,430.51
  5. Step 5: Solve for x
    x = 227,430.51/427.04
  6. Step 6: Final answer
    x = 532.57

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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.