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Finding the Fourth Proportional to 689.72, 951.62 and 409.93

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Solution

The fourth proportional to 689.72, 951.62 and 409.93 is: 565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 951.62 = 409.93 : x
  2. Step 2: Convert to fraction form
    689.72/951.62 = 409.93/x
  3. Step 3: Cross multiply
    689.72x = 951.62 × 409.93
  4. Step 4: Simplify right side
    689.72x = 390,093.16
  5. Step 5: Solve for x
    x = 390,093.16/689.72
  6. Step 6: Final answer
    x = 565.59

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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.