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Finding the Fourth Proportional to 577.67, 797.19 and 328.98

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Solution

The fourth proportional to 577.67, 797.19 and 328.98 is: 454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.67 : 797.19 = 328.98 : x
  2. Step 2: Convert to fraction form
    577.67/797.19 = 328.98/x
  3. Step 3: Cross multiply
    577.67x = 797.19 × 328.98
  4. Step 4: Simplify right side
    577.67x = 262,259.57
  5. Step 5: Solve for x
    x = 262,259.57/577.67
  6. Step 6: Final answer
    x = 454.00

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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.