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Finding the Fourth Proportional to 947.45, 1,421.16 and 289.32

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Solution

The fourth proportional to 947.45, 1,421.16 and 289.32 is: 433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.45 : 1,421.16 = 289.32 : x
  2. Step 2: Convert to fraction form
    947.45/1,421.16 = 289.32/x
  3. Step 3: Cross multiply
    947.45x = 1,421.16 × 289.32
  4. Step 4: Simplify right side
    947.45x = 411,170.01
  5. Step 5: Solve for x
    x = 411,170.01/947.45
  6. Step 6: Final answer
    x = 433.98

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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.