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Finding the Fourth Proportional to 596.82, 894.54 and 322.34

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Solution

The fourth proportional to 596.82, 894.54 and 322.34 is: 483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 894.54 = 322.34 : x
  2. Step 2: Convert to fraction form
    596.82/894.54 = 322.34/x
  3. Step 3: Cross multiply
    596.82x = 894.54 × 322.34
  4. Step 4: Simplify right side
    596.82x = 288,341.55
  5. Step 5: Solve for x
    x = 288,341.55/596.82
  6. Step 6: Final answer
    x = 483.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.