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Finding the Fourth Proportional to 428.16, 591.32 and 346.16

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Solution

The fourth proportional to 428.16, 591.32 and 346.16 is: 478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.16 : 591.32 = 346.16 : x
  2. Step 2: Convert to fraction form
    428.16/591.32 = 346.16/x
  3. Step 3: Cross multiply
    428.16x = 591.32 × 346.16
  4. Step 4: Simplify right side
    428.16x = 204,691.33
  5. Step 5: Solve for x
    x = 204,691.33/428.16
  6. Step 6: Final answer
    x = 478.07

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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.