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Finding the Fourth Proportional to 436.80, 600 and 434.64

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Solution

The fourth proportional to 436.80, 600 and 434.64 is: 597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.80 : 600 = 434.64 : x
  2. Step 2: Convert to fraction form
    436.80/600 = 434.64/x
  3. Step 3: Cross multiply
    436.80x = 600 × 434.64
  4. Step 4: Simplify right side
    436.80x = 260,784
  5. Step 5: Solve for x
    x = 260,784/436.80
  6. Step 6: Final answer
    x = 597.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.