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Finding the Fourth Proportional to 428.59, 643.02 and 291.43

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Solution

The fourth proportional to 428.59, 643.02 and 291.43 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.59 : 643.02 = 291.43 : x
  2. Step 2: Convert to fraction form
    428.59/643.02 = 291.43/x
  3. Step 3: Cross multiply
    428.59x = 643.02 × 291.43
  4. Step 4: Simplify right side
    428.59x = 187,395.32
  5. Step 5: Solve for x
    x = 187,395.32/428.59
  6. Step 6: Final answer
    x = 437.24

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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.