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Finding the Fourth Proportional to 563.91, 777.60 and 485.44

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Solution

The fourth proportional to 563.91, 777.60 and 485.44 is: 669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 777.60 = 485.44 : x
  2. Step 2: Convert to fraction form
    563.91/777.60 = 485.44/x
  3. Step 3: Cross multiply
    563.91x = 777.60 × 485.44
  4. Step 4: Simplify right side
    563.91x = 377,480.57
  5. Step 5: Solve for x
    x = 377,480.57/563.91
  6. Step 6: Final answer
    x = 669.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.