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Finding the Fourth Proportional to 420.59, 580.33 and 265.25

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Solution

The fourth proportional to 420.59, 580.33 and 265.25 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.59 : 580.33 = 265.25 : x
  2. Step 2: Convert to fraction form
    420.59/580.33 = 265.25/x
  3. Step 3: Cross multiply
    420.59x = 580.33 × 265.25
  4. Step 4: Simplify right side
    420.59x = 153,932.53
  5. Step 5: Solve for x
    x = 153,932.53/420.59
  6. Step 6: Final answer
    x = 365.99

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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.