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Finding the Fourth Proportional to 436.42, 602.22 and 288.76

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Solution

The fourth proportional to 436.42, 602.22 and 288.76 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.42 : 602.22 = 288.76 : x
  2. Step 2: Convert to fraction form
    436.42/602.22 = 288.76/x
  3. Step 3: Cross multiply
    436.42x = 602.22 × 288.76
  4. Step 4: Simplify right side
    436.42x = 173,897.05
  5. Step 5: Solve for x
    x = 173,897.05/436.42
  6. Step 6: Final answer
    x = 398.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.