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Finding the Fourth Proportional to 669.64, 924.16 and 370.91

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Solution

The fourth proportional to 669.64, 924.16 and 370.91 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 924.16 = 370.91 : x
  2. Step 2: Convert to fraction form
    669.64/924.16 = 370.91/x
  3. Step 3: Cross multiply
    669.64x = 924.16 × 370.91
  4. Step 4: Simplify right side
    669.64x = 342,774.64
  5. Step 5: Solve for x
    x = 342,774.64/669.64
  6. Step 6: Final answer
    x = 511.88

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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.