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Finding the Fourth Proportional to 596.35, 823.17 and 347.77

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Solution

The fourth proportional to 596.35, 823.17 and 347.77 is: 480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 823.17 = 347.77 : x
  2. Step 2: Convert to fraction form
    596.35/823.17 = 347.77/x
  3. Step 3: Cross multiply
    596.35x = 823.17 × 347.77
  4. Step 4: Simplify right side
    596.35x = 286,273.83
  5. Step 5: Solve for x
    x = 286,273.83/596.35
  6. Step 6: Final answer
    x = 480.04

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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.