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Finding the Fourth Proportional to 596.20, 822.86 and 347.67

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Solution

The fourth proportional to 596.20, 822.86 and 347.67 is: 479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.20 : 822.86 = 347.67 : x
  2. Step 2: Convert to fraction form
    596.20/822.86 = 347.67/x
  3. Step 3: Cross multiply
    596.20x = 822.86 × 347.67
  4. Step 4: Simplify right side
    596.20x = 286,080.81
  5. Step 5: Solve for x
    x = 286,080.81/596.20
  6. Step 6: Final answer
    x = 479.84

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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.