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Finding the Fourth Proportional to 548.40, 823.02 and 260.04

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Solution

The fourth proportional to 548.40, 823.02 and 260.04 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 823.02 = 260.04 : x
  2. Step 2: Convert to fraction form
    548.40/823.02 = 260.04/x
  3. Step 3: Cross multiply
    548.40x = 823.02 × 260.04
  4. Step 4: Simplify right side
    548.40x = 214,018.12
  5. Step 5: Solve for x
    x = 214,018.12/548.40
  6. Step 6: Final answer
    x = 390.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.