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Finding the Fourth Proportional to 577.80, 798.90 and 504.90

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Solution

The fourth proportional to 577.80, 798.90 and 504.90 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 798.90 = 504.90 : x
  2. Step 2: Convert to fraction form
    577.80/798.90 = 504.90/x
  3. Step 3: Cross multiply
    577.80x = 798.90 × 504.90
  4. Step 4: Simplify right side
    577.80x = 403,364.61
  5. Step 5: Solve for x
    x = 403,364.61/577.80
  6. Step 6: Final answer
    x = 698.10

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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.