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Finding the Fourth Proportional to 596.10, 822.23 and 471.56

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Solution

The fourth proportional to 596.10, 822.23 and 471.56 is: 650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 822.23 = 471.56 : x
  2. Step 2: Convert to fraction form
    596.10/822.23 = 471.56/x
  3. Step 3: Cross multiply
    596.10x = 822.23 × 471.56
  4. Step 4: Simplify right side
    596.10x = 387,730.48
  5. Step 5: Solve for x
    x = 387,730.48/596.10
  6. Step 6: Final answer
    x = 650.45

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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.