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Finding the Fourth Proportional to 336.68, 464.34 and 284.35

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Solution

The fourth proportional to 336.68, 464.34 and 284.35 is: 392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.68 : 464.34 = 284.35 : x
  2. Step 2: Convert to fraction form
    336.68/464.34 = 284.35/x
  3. Step 3: Cross multiply
    336.68x = 464.34 × 284.35
  4. Step 4: Simplify right side
    336.68x = 132,032.76
  5. Step 5: Solve for x
    x = 132,032.76/336.68
  6. Step 6: Final answer
    x = 392.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.