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Finding the Fourth Proportional to 563.75, 777.80 and 367.19

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Solution

The fourth proportional to 563.75, 777.80 and 367.19 is: 506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.75 : 777.80 = 367.19 : x
  2. Step 2: Convert to fraction form
    563.75/777.80 = 367.19/x
  3. Step 3: Cross multiply
    563.75x = 777.80 × 367.19
  4. Step 4: Simplify right side
    563.75x = 285,598.55
  5. Step 5: Solve for x
    x = 285,598.55/563.75
  6. Step 6: Final answer
    x = 506.60

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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.