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Finding the Fourth Proportional to 577.30, 798.21 and 504.40

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Solution

The fourth proportional to 577.30, 798.21 and 504.40 is: 697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.30 : 798.21 = 504.40 : x
  2. Step 2: Convert to fraction form
    577.30/798.21 = 504.40/x
  3. Step 3: Cross multiply
    577.30x = 798.21 × 504.40
  4. Step 4: Simplify right side
    577.30x = 402,617.12
  5. Step 5: Solve for x
    x = 402,617.12/577.30
  6. Step 6: Final answer
    x = 697.41

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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.