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Finding the Fourth Proportional to 436.64, 602.75 and 289.01

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Solution

The fourth proportional to 436.64, 602.75 and 289.01 is: 398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.64 : 602.75 = 289.01 : x
  2. Step 2: Convert to fraction form
    436.64/602.75 = 289.01/x
  3. Step 3: Cross multiply
    436.64x = 602.75 × 289.01
  4. Step 4: Simplify right side
    436.64x = 174,203.01
  5. Step 5: Solve for x
    x = 174,203.01/436.64
  6. Step 6: Final answer
    x = 398.97

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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.