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Finding the Fourth Proportional to 436.19, 602.18 and 289.02

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Solution

The fourth proportional to 436.19, 602.18 and 289.02 is: 399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.19 : 602.18 = 289.02 : x
  2. Step 2: Convert to fraction form
    436.19/602.18 = 289.02/x
  3. Step 3: Cross multiply
    436.19x = 602.18 × 289.02
  4. Step 4: Simplify right side
    436.19x = 174,042.20
  5. Step 5: Solve for x
    x = 174,042.20/436.19
  6. Step 6: Final answer
    x = 399.01

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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.