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Finding the Fourth Proportional to 346.02, 516.83 and 313.03

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Solution

The fourth proportional to 346.02, 516.83 and 313.03 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 516.83 = 313.03 : x
  2. Step 2: Convert to fraction form
    346.02/516.83 = 313.03/x
  3. Step 3: Cross multiply
    346.02x = 516.83 × 313.03
  4. Step 4: Simplify right side
    346.02x = 161,780.42
  5. Step 5: Solve for x
    x = 161,780.42/346.02
  6. Step 6: Final answer
    x = 467.55

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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.