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Finding the Fourth Proportional to 596.04, 821.29 and 456.15

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Solution

The fourth proportional to 596.04, 821.29 and 456.15 is: 628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 821.29 = 456.15 : x
  2. Step 2: Convert to fraction form
    596.04/821.29 = 456.15/x
  3. Step 3: Cross multiply
    596.04x = 821.29 × 456.15
  4. Step 4: Simplify right side
    596.04x = 374,631.43
  5. Step 5: Solve for x
    x = 374,631.43/596.04
  6. Step 6: Final answer
    x = 628.53

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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.