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Finding the Fourth Proportional to 436.88, 602.98 and 262.28

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Solution

The fourth proportional to 436.88, 602.98 and 262.28 is: 362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.88 : 602.98 = 262.28 : x
  2. Step 2: Convert to fraction form
    436.88/602.98 = 262.28/x
  3. Step 3: Cross multiply
    436.88x = 602.98 × 262.28
  4. Step 4: Simplify right side
    436.88x = 158,149.59
  5. Step 5: Solve for x
    x = 158,149.59/436.88
  6. Step 6: Final answer
    x = 362.00

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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.