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Finding the Fourth Proportional to 668.16, 998.40 and 552.96

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Solution

The fourth proportional to 668.16, 998.40 and 552.96 is: 826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 998.40 = 552.96 : x
  2. Step 2: Convert to fraction form
    668.16/998.40 = 552.96/x
  3. Step 3: Cross multiply
    668.16x = 998.40 × 552.96
  4. Step 4: Simplify right side
    668.16x = 552,075.26
  5. Step 5: Solve for x
    x = 552,075.26/668.16
  6. Step 6: Final answer
    x = 826.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.