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Finding the Fourth Proportional to 428.09, 592.46 and 417.87

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Solution

The fourth proportional to 428.09, 592.46 and 417.87 is: 578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.09 : 592.46 = 417.87 : x
  2. Step 2: Convert to fraction form
    428.09/592.46 = 417.87/x
  3. Step 3: Cross multiply
    428.09x = 592.46 × 417.87
  4. Step 4: Simplify right side
    428.09x = 247,571.26
  5. Step 5: Solve for x
    x = 247,571.26/428.09
  6. Step 6: Final answer
    x = 578.32

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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.