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Finding the Fourth Proportional to 485.84, 729.84 and 377.84

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Solution

The fourth proportional to 485.84, 729.84 and 377.84 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.84 : 729.84 = 377.84 : x
  2. Step 2: Convert to fraction form
    485.84/729.84 = 377.84/x
  3. Step 3: Cross multiply
    485.84x = 729.84 × 377.84
  4. Step 4: Simplify right side
    485.84x = 275,762.75
  5. Step 5: Solve for x
    x = 275,762.75/485.84
  6. Step 6: Final answer
    x = 567.60

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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.