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Finding the Fourth Proportional to 436.64, 601.98 and 354.02

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Solution

The fourth proportional to 436.64, 601.98 and 354.02 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.64 : 601.98 = 354.02 : x
  2. Step 2: Convert to fraction form
    436.64/601.98 = 354.02/x
  3. Step 3: Cross multiply
    436.64x = 601.98 × 354.02
  4. Step 4: Simplify right side
    436.64x = 213,112.96
  5. Step 5: Solve for x
    x = 213,112.96/436.64
  6. Step 6: Final answer
    x = 488.07

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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.