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Finding the Fourth Proportional to 544.80, 814.80 and 458.40

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Solution

The fourth proportional to 544.80, 814.80 and 458.40 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.80 : 814.80 = 458.40 : x
  2. Step 2: Convert to fraction form
    544.80/814.80 = 458.40/x
  3. Step 3: Cross multiply
    544.80x = 814.80 × 458.40
  4. Step 4: Simplify right side
    544.80x = 373,504.32
  5. Step 5: Solve for x
    x = 373,504.32/544.80
  6. Step 6: Final answer
    x = 685.58

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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.