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Finding the Fourth Proportional to 667.08, 920.32 and 387.16

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Solution

The fourth proportional to 667.08, 920.32 and 387.16 is: 534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 920.32 = 387.16 : x
  2. Step 2: Convert to fraction form
    667.08/920.32 = 387.16/x
  3. Step 3: Cross multiply
    667.08x = 920.32 × 387.16
  4. Step 4: Simplify right side
    667.08x = 356,307.82
  5. Step 5: Solve for x
    x = 356,307.82/667.08
  6. Step 6: Final answer
    x = 534.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.