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Finding the Fourth Proportional to 689.04, 951.08 and 440.51

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Solution

The fourth proportional to 689.04, 951.08 and 440.51 is: 608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 951.08 = 440.51 : x
  2. Step 2: Convert to fraction form
    689.04/951.08 = 440.51/x
  3. Step 3: Cross multiply
    689.04x = 951.08 × 440.51
  4. Step 4: Simplify right side
    689.04x = 418,953.29
  5. Step 5: Solve for x
    x = 418,953.29/689.04
  6. Step 6: Final answer
    x = 608.02

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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.