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Finding the Fourth Proportional to 404.34, 607.37 and 289.52

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Solution

The fourth proportional to 404.34, 607.37 and 289.52 is: 434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 607.37 = 289.52 : x
  2. Step 2: Convert to fraction form
    404.34/607.37 = 289.52/x
  3. Step 3: Cross multiply
    404.34x = 607.37 × 289.52
  4. Step 4: Simplify right side
    404.34x = 175,845.20
  5. Step 5: Solve for x
    x = 175,845.20/404.34
  6. Step 6: Final answer
    x = 434.90

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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.