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Finding the Fourth Proportional to 436.19, 602.64 and 353.84

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Solution

The fourth proportional to 436.19, 602.64 and 353.84 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.19 : 602.64 = 353.84 : x
  2. Step 2: Convert to fraction form
    436.19/602.64 = 353.84/x
  3. Step 3: Cross multiply
    436.19x = 602.64 × 353.84
  4. Step 4: Simplify right side
    436.19x = 213,235.12
  5. Step 5: Solve for x
    x = 213,235.12/436.19
  6. Step 6: Final answer
    x = 488.86

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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.