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Finding the Fourth Proportional to 596.44, 822.81 and 347.77

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Solution

The fourth proportional to 596.44, 822.81 and 347.77 is: 479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 822.81 = 347.77 : x
  2. Step 2: Convert to fraction form
    596.44/822.81 = 347.77/x
  3. Step 3: Cross multiply
    596.44x = 822.81 × 347.77
  4. Step 4: Simplify right side
    596.44x = 286,148.63
  5. Step 5: Solve for x
    x = 286,148.63/596.44
  6. Step 6: Final answer
    x = 479.76

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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.