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Finding the Fourth Proportional to 667.42, 921.02 and 368.66

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Solution

The fourth proportional to 667.42, 921.02 and 368.66 is: 508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.42 : 921.02 = 368.66 : x
  2. Step 2: Convert to fraction form
    667.42/921.02 = 368.66/x
  3. Step 3: Cross multiply
    667.42x = 921.02 × 368.66
  4. Step 4: Simplify right side
    667.42x = 339,543.23
  5. Step 5: Solve for x
    x = 339,543.23/667.42
  6. Step 6: Final answer
    x = 508.74

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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.