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Finding the Fourth Proportional to 663.70, 995.70 and 317.02

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Solution

The fourth proportional to 663.70, 995.70 and 317.02 is: 475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.70 : 995.70 = 317.02 : x
  2. Step 2: Convert to fraction form
    663.70/995.70 = 317.02/x
  3. Step 3: Cross multiply
    663.70x = 995.70 × 317.02
  4. Step 4: Simplify right side
    663.70x = 315,656.81
  5. Step 5: Solve for x
    x = 315,656.81/663.70
  6. Step 6: Final answer
    x = 475.60

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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.