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Finding the Fourth Proportional to 577.04, 868.64 and 517.50

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Solution

The fourth proportional to 577.04, 868.64 and 517.50 is: 779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 868.64 = 517.50 : x
  2. Step 2: Convert to fraction form
    577.04/868.64 = 517.50/x
  3. Step 3: Cross multiply
    577.04x = 868.64 × 517.50
  4. Step 4: Simplify right side
    577.04x = 449,518.61
  5. Step 5: Solve for x
    x = 449,518.61/577.04
  6. Step 6: Final answer
    x = 779.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.