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Finding the Fourth Proportional to 345.97, 520.71 and 259.77

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Solution

The fourth proportional to 345.97, 520.71 and 259.77 is: 390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.97 : 520.71 = 259.77 : x
  2. Step 2: Convert to fraction form
    345.97/520.71 = 259.77/x
  3. Step 3: Cross multiply
    345.97x = 520.71 × 259.77
  4. Step 4: Simplify right side
    345.97x = 135,264.84
  5. Step 5: Solve for x
    x = 135,264.84/345.97
  6. Step 6: Final answer
    x = 390.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.