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Finding the Fourth Proportional to 488.02, 673.62 and 340.60

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Solution

The fourth proportional to 488.02, 673.62 and 340.60 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.02 : 673.62 = 340.60 : x
  2. Step 2: Convert to fraction form
    488.02/673.62 = 340.60/x
  3. Step 3: Cross multiply
    488.02x = 673.62 × 340.60
  4. Step 4: Simplify right side
    488.02x = 229,434.97
  5. Step 5: Solve for x
    x = 229,434.97/488.02
  6. Step 6: Final answer
    x = 470.13

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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.