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Finding the Fourth Proportional to 346.84, 520.42 and 202.56

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Solution

The fourth proportional to 346.84, 520.42 and 202.56 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 520.42 = 202.56 : x
  2. Step 2: Convert to fraction form
    346.84/520.42 = 202.56/x
  3. Step 3: Cross multiply
    346.84x = 520.42 × 202.56
  4. Step 4: Simplify right side
    346.84x = 105,416.28
  5. Step 5: Solve for x
    x = 105,416.28/346.84
  6. Step 6: Final answer
    x = 303.93

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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.