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Finding the Fourth Proportional to 596.64, 823.08 and 464.74

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Solution

The fourth proportional to 596.64, 823.08 and 464.74 is: 641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 823.08 = 464.74 : x
  2. Step 2: Convert to fraction form
    596.64/823.08 = 464.74/x
  3. Step 3: Cross multiply
    596.64x = 823.08 × 464.74
  4. Step 4: Simplify right side
    596.64x = 382,518.20
  5. Step 5: Solve for x
    x = 382,518.20/596.64
  6. Step 6: Final answer
    x = 641.12

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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.