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Finding the Fourth Proportional to 488.48, 732.59 and 334.39

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Solution

The fourth proportional to 488.48, 732.59 and 334.39 is: 501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.48 : 732.59 = 334.39 : x
  2. Step 2: Convert to fraction form
    488.48/732.59 = 334.39/x
  3. Step 3: Cross multiply
    488.48x = 732.59 × 334.39
  4. Step 4: Simplify right side
    488.48x = 244,969.10
  5. Step 5: Solve for x
    x = 244,969.10/488.48
  6. Step 6: Final answer
    x = 501.49

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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.