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Finding the Fourth Proportional to 657.02, 985.23 and 245.99

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Solution

The fourth proportional to 657.02, 985.23 and 245.99 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 985.23 = 245.99 : x
  2. Step 2: Convert to fraction form
    657.02/985.23 = 245.99/x
  3. Step 3: Cross multiply
    657.02x = 985.23 × 245.99
  4. Step 4: Simplify right side
    657.02x = 242,351.80
  5. Step 5: Solve for x
    x = 242,351.80/657.02
  6. Step 6: Final answer
    x = 368.87

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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.