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Finding the Fourth Proportional to 442.04, 609.98 and 242.84

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Solution

The fourth proportional to 442.04, 609.98 and 242.84 is: 335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 609.98 = 242.84 : x
  2. Step 2: Convert to fraction form
    442.04/609.98 = 242.84/x
  3. Step 3: Cross multiply
    442.04x = 609.98 × 242.84
  4. Step 4: Simplify right side
    442.04x = 148,127.85
  5. Step 5: Solve for x
    x = 148,127.85/442.04
  6. Step 6: Final answer
    x = 335.10

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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.