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Finding the Fourth Proportional to 577.12, 794.64 and 536.80

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Solution

The fourth proportional to 577.12, 794.64 and 536.80 is: 739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 794.64 = 536.80 : x
  2. Step 2: Convert to fraction form
    577.12/794.64 = 536.80/x
  3. Step 3: Cross multiply
    577.12x = 794.64 × 536.80
  4. Step 4: Simplify right side
    577.12x = 426,562.75
  5. Step 5: Solve for x
    x = 426,562.75/577.12
  6. Step 6: Final answer
    x = 739.12

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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.