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Finding the Fourth Proportional to 667.34, 920.88 and 368.57

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Solution

The fourth proportional to 667.34, 920.88 and 368.57 is: 508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.34 : 920.88 = 368.57 : x
  2. Step 2: Convert to fraction form
    667.34/920.88 = 368.57/x
  3. Step 3: Cross multiply
    667.34x = 920.88 × 368.57
  4. Step 4: Simplify right side
    667.34x = 339,411.04
  5. Step 5: Solve for x
    x = 339,411.04/667.34
  6. Step 6: Final answer
    x = 508.60

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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.