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Finding the Fourth Proportional to 596.68, 823.80 and 421.72

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Solution

The fourth proportional to 596.68, 823.80 and 421.72 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 823.80 = 421.72 : x
  2. Step 2: Convert to fraction form
    596.68/823.80 = 421.72/x
  3. Step 3: Cross multiply
    596.68x = 823.80 × 421.72
  4. Step 4: Simplify right side
    596.68x = 347,412.94
  5. Step 5: Solve for x
    x = 347,412.94/596.68
  6. Step 6: Final answer
    x = 582.24

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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.