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Finding the Fourth Proportional to 563.24, 777.59 and 377.05

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Solution

The fourth proportional to 563.24, 777.59 and 377.05 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.24 : 777.59 = 377.05 : x
  2. Step 2: Convert to fraction form
    563.24/777.59 = 377.05/x
  3. Step 3: Cross multiply
    563.24x = 777.59 × 377.05
  4. Step 4: Simplify right side
    563.24x = 293,190.31
  5. Step 5: Solve for x
    x = 293,190.31/563.24
  6. Step 6: Final answer
    x = 520.54

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Double scale
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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.