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Finding the Fourth Proportional to 345.82, 515.77 and 314.84

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Solution

The fourth proportional to 345.82, 515.77 and 314.84 is: 469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.82 : 515.77 = 314.84 : x
  2. Step 2: Convert to fraction form
    345.82/515.77 = 314.84/x
  3. Step 3: Cross multiply
    345.82x = 515.77 × 314.84
  4. Step 4: Simplify right side
    345.82x = 162,385.03
  5. Step 5: Solve for x
    x = 162,385.03/345.82
  6. Step 6: Final answer
    x = 469.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.