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Finding the Fourth Proportional to 488.49, 732.99 and 214.77

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Solution

The fourth proportional to 488.49, 732.99 and 214.77 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 732.99 = 214.77 : x
  2. Step 2: Convert to fraction form
    488.49/732.99 = 214.77/x
  3. Step 3: Cross multiply
    488.49x = 732.99 × 214.77
  4. Step 4: Simplify right side
    488.49x = 157,423.73
  5. Step 5: Solve for x
    x = 157,423.73/488.49
  6. Step 6: Final answer
    x = 322.27

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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.