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Finding the Fourth Proportional to 428.96, 591.96 and 390.08

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Solution

The fourth proportional to 428.96, 591.96 and 390.08 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 591.96 = 390.08 : x
  2. Step 2: Convert to fraction form
    428.96/591.96 = 390.08/x
  3. Step 3: Cross multiply
    428.96x = 591.96 × 390.08
  4. Step 4: Simplify right side
    428.96x = 230,911.76
  5. Step 5: Solve for x
    x = 230,911.76/428.96
  6. Step 6: Final answer
    x = 538.31

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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.