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Finding the Fourth Proportional to 351.77, 523.64 and 346.58

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Solution

The fourth proportional to 351.77, 523.64 and 346.58 is: 515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.77 : 523.64 = 346.58 : x
  2. Step 2: Convert to fraction form
    351.77/523.64 = 346.58/x
  3. Step 3: Cross multiply
    351.77x = 523.64 × 346.58
  4. Step 4: Simplify right side
    351.77x = 181,483.15
  5. Step 5: Solve for x
    x = 181,483.15/351.77
  6. Step 6: Final answer
    x = 515.91

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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.