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Finding the Fourth Proportional to 564.03, 777.94 and 490.23

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Solution

The fourth proportional to 564.03, 777.94 and 490.23 is: 676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 777.94 = 490.23 : x
  2. Step 2: Convert to fraction form
    564.03/777.94 = 490.23/x
  3. Step 3: Cross multiply
    564.03x = 777.94 × 490.23
  4. Step 4: Simplify right side
    564.03x = 381,368.30
  5. Step 5: Solve for x
    x = 381,368.30/564.03
  6. Step 6: Final answer
    x = 676.15

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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.