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Finding the Fourth Proportional to 428.96, 642.57 and 313.65

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Solution

The fourth proportional to 428.96, 642.57 and 313.65 is: 469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 642.57 = 313.65 : x
  2. Step 2: Convert to fraction form
    428.96/642.57 = 313.65/x
  3. Step 3: Cross multiply
    428.96x = 642.57 × 313.65
  4. Step 4: Simplify right side
    428.96x = 201,542.08
  5. Step 5: Solve for x
    x = 201,542.08/428.96
  6. Step 6: Final answer
    x = 469.84

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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.