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Finding the Fourth Proportional to 596.16, 823.77 and 466.16

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Solution

The fourth proportional to 596.16, 823.77 and 466.16 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 823.77 = 466.16 : x
  2. Step 2: Convert to fraction form
    596.16/823.77 = 466.16/x
  3. Step 3: Cross multiply
    596.16x = 823.77 × 466.16
  4. Step 4: Simplify right side
    596.16x = 384,004.50
  5. Step 5: Solve for x
    x = 384,004.50/596.16
  6. Step 6: Final answer
    x = 644.13

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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.