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Finding the Fourth Proportional to 431.53, 647.58 and 284.96

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Solution

The fourth proportional to 431.53, 647.58 and 284.96 is: 427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.53 : 647.58 = 284.96 : x
  2. Step 2: Convert to fraction form
    431.53/647.58 = 284.96/x
  3. Step 3: Cross multiply
    431.53x = 647.58 × 284.96
  4. Step 4: Simplify right side
    431.53x = 184,534.40
  5. Step 5: Solve for x
    x = 184,534.40/431.53
  6. Step 6: Final answer
    x = 427.63

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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.