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Finding the Fourth Proportional to 436.59, 602.34 and 287.15

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Solution

The fourth proportional to 436.59, 602.34 and 287.15 is: 396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.59 : 602.34 = 287.15 : x
  2. Step 2: Convert to fraction form
    436.59/602.34 = 287.15/x
  3. Step 3: Cross multiply
    436.59x = 602.34 × 287.15
  4. Step 4: Simplify right side
    436.59x = 172,957.84
  5. Step 5: Solve for x
    x = 172,957.84/436.59
  6. Step 6: Final answer
    x = 396.16

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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.