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Finding the Fourth Proportional to 483.62, 665.42 and 470.01

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Solution

The fourth proportional to 483.62, 665.42 and 470.01 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 665.42 = 470.01 : x
  2. Step 2: Convert to fraction form
    483.62/665.42 = 470.01/x
  3. Step 3: Cross multiply
    483.62x = 665.42 × 470.01
  4. Step 4: Simplify right side
    483.62x = 312,751.70
  5. Step 5: Solve for x
    x = 312,751.70/483.62
  6. Step 6: Final answer
    x = 646.69

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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.