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Finding the Fourth Proportional to 347.14, 520.61 and 286.12

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Solution

The fourth proportional to 347.14, 520.61 and 286.12 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.14 : 520.61 = 286.12 : x
  2. Step 2: Convert to fraction form
    347.14/520.61 = 286.12/x
  3. Step 3: Cross multiply
    347.14x = 520.61 × 286.12
  4. Step 4: Simplify right side
    347.14x = 148,957.23
  5. Step 5: Solve for x
    x = 148,957.23/347.14
  6. Step 6: Final answer
    x = 429.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.