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Finding the Fourth Proportional to 346.36, 516.80 and 307.18

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Solution

The fourth proportional to 346.36, 516.80 and 307.18 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.36 : 516.80 = 307.18 : x
  2. Step 2: Convert to fraction form
    346.36/516.80 = 307.18/x
  3. Step 3: Cross multiply
    346.36x = 516.80 × 307.18
  4. Step 4: Simplify right side
    346.36x = 158,750.62
  5. Step 5: Solve for x
    x = 158,750.62/346.36
  6. Step 6: Final answer
    x = 458.34

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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.