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Finding the Fourth Proportional to 667.59, 921.01 and 415.40

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Solution

The fourth proportional to 667.59, 921.01 and 415.40 is: 573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.59 : 921.01 = 415.40 : x
  2. Step 2: Convert to fraction form
    667.59/921.01 = 415.40/x
  3. Step 3: Cross multiply
    667.59x = 921.01 × 415.40
  4. Step 4: Simplify right side
    667.59x = 382,587.55
  5. Step 5: Solve for x
    x = 382,587.55/667.59
  6. Step 6: Final answer
    x = 573.09

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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.