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Finding the Fourth Proportional to 389.55, 537.41 and 265.01

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Solution

The fourth proportional to 389.55, 537.41 and 265.01 is: 365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.55 : 537.41 = 265.01 : x
  2. Step 2: Convert to fraction form
    389.55/537.41 = 265.01/x
  3. Step 3: Cross multiply
    389.55x = 537.41 × 265.01
  4. Step 4: Simplify right side
    389.55x = 142,419.02
  5. Step 5: Solve for x
    x = 142,419.02/389.55
  6. Step 6: Final answer
    x = 365.60

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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.