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Finding the Fourth Proportional to 437.30, 603.64 and 289.88

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Solution

The fourth proportional to 437.30, 603.64 and 289.88 is: 400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.30 : 603.64 = 289.88 : x
  2. Step 2: Convert to fraction form
    437.30/603.64 = 289.88/x
  3. Step 3: Cross multiply
    437.30x = 603.64 × 289.88
  4. Step 4: Simplify right side
    437.30x = 174,978.70
  5. Step 5: Solve for x
    x = 174,978.70/437.30
  6. Step 6: Final answer
    x = 400.14

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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.