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Finding the Fourth Proportional to 976.02, 1,463.93 and 245.60

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Solution

The fourth proportional to 976.02, 1,463.93 and 245.60 is: 368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.02 : 1,463.93 = 245.60 : x
  2. Step 2: Convert to fraction form
    976.02/1,463.93 = 245.60/x
  3. Step 3: Cross multiply
    976.02x = 1,463.93 × 245.60
  4. Step 4: Simplify right side
    976.02x = 359,541.21
  5. Step 5: Solve for x
    x = 359,541.21/976.02
  6. Step 6: Final answer
    x = 368.37

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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.