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Finding the Fourth Proportional to 483.76, 720.60 and 477.40

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Solution

The fourth proportional to 483.76, 720.60 and 477.40 is: 711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 720.60 = 477.40 : x
  2. Step 2: Convert to fraction form
    483.76/720.60 = 477.40/x
  3. Step 3: Cross multiply
    483.76x = 720.60 × 477.40
  4. Step 4: Simplify right side
    483.76x = 344,014.44
  5. Step 5: Solve for x
    x = 344,014.44/483.76
  6. Step 6: Final answer
    x = 711.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.