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Finding the Fourth Proportional to 607.30, 910.39 and 242

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Solution

The fourth proportional to 607.30, 910.39 and 242 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.30 : 910.39 = 242 : x
  2. Step 2: Convert to fraction form
    607.30/910.39 = 242/x
  3. Step 3: Cross multiply
    607.30x = 910.39 × 242
  4. Step 4: Simplify right side
    607.30x = 220,314.38
  5. Step 5: Solve for x
    x = 220,314.38/607.30
  6. Step 6: Final answer
    x = 362.78

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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.