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Finding the Fourth Proportional to 577.88, 866.82 and 415.64

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Solution

The fourth proportional to 577.88, 866.82 and 415.64 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.88 : 866.82 = 415.64 : x
  2. Step 2: Convert to fraction form
    577.88/866.82 = 415.64/x
  3. Step 3: Cross multiply
    577.88x = 866.82 × 415.64
  4. Step 4: Simplify right side
    577.88x = 360,285.06
  5. Step 5: Solve for x
    x = 360,285.06/577.88
  6. Step 6: Final answer
    x = 623.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.