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Finding the Fourth Proportional to 436.72, 659.25 and 434.29

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Solution

The fourth proportional to 436.72, 659.25 and 434.29 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.72 : 659.25 = 434.29 : x
  2. Step 2: Convert to fraction form
    436.72/659.25 = 434.29/x
  3. Step 3: Cross multiply
    436.72x = 659.25 × 434.29
  4. Step 4: Simplify right side
    436.72x = 286,305.68
  5. Step 5: Solve for x
    x = 286,305.68/436.72
  6. Step 6: Final answer
    x = 655.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.