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Finding the Fourth Proportional to 602.36, 903.64 and 191.40

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Solution

The fourth proportional to 602.36, 903.64 and 191.40 is: 287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.36 : 903.64 = 191.40 : x
  2. Step 2: Convert to fraction form
    602.36/903.64 = 191.40/x
  3. Step 3: Cross multiply
    602.36x = 903.64 × 191.40
  4. Step 4: Simplify right side
    602.36x = 172,956.70
  5. Step 5: Solve for x
    x = 172,956.70/602.36
  6. Step 6: Final answer
    x = 287.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.