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Finding the Fourth Proportional to 654.51, 979.66 and 345.93

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Solution

The fourth proportional to 654.51, 979.66 and 345.93 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.51 : 979.66 = 345.93 : x
  2. Step 2: Convert to fraction form
    654.51/979.66 = 345.93/x
  3. Step 3: Cross multiply
    654.51x = 979.66 × 345.93
  4. Step 4: Simplify right side
    654.51x = 338,893.78
  5. Step 5: Solve for x
    x = 338,893.78/654.51
  6. Step 6: Final answer
    x = 517.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.