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Finding the Fourth Proportional to 577.02, 796.40 and 356.18

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Solution

The fourth proportional to 577.02, 796.40 and 356.18 is: 491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 796.40 = 356.18 : x
  2. Step 2: Convert to fraction form
    577.02/796.40 = 356.18/x
  3. Step 3: Cross multiply
    577.02x = 796.40 × 356.18
  4. Step 4: Simplify right side
    577.02x = 283,661.75
  5. Step 5: Solve for x
    x = 283,661.75/577.02
  6. Step 6: Final answer
    x = 491.60

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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.