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Finding the Fourth Proportional to 436.80, 602.64 and 312.96

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Solution

The fourth proportional to 436.80, 602.64 and 312.96 is: 431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.80 : 602.64 = 312.96 : x
  2. Step 2: Convert to fraction form
    436.80/602.64 = 312.96/x
  3. Step 3: Cross multiply
    436.80x = 602.64 × 312.96
  4. Step 4: Simplify right side
    436.80x = 188,602.21
  5. Step 5: Solve for x
    x = 188,602.21/436.80
  6. Step 6: Final answer
    x = 431.78

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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.