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Finding the Fourth Proportional to 346.16, 516.42 and 285.12

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Solution

The fourth proportional to 346.16, 516.42 and 285.12 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 516.42 = 285.12 : x
  2. Step 2: Convert to fraction form
    346.16/516.42 = 285.12/x
  3. Step 3: Cross multiply
    346.16x = 516.42 × 285.12
  4. Step 4: Simplify right side
    346.16x = 147,241.67
  5. Step 5: Solve for x
    x = 147,241.67/346.16
  6. Step 6: Final answer
    x = 425.35

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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.