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Finding the Fourth Proportional to 407.85, 563.04 and 242.12

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Solution

The fourth proportional to 407.85, 563.04 and 242.12 is: 334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.85 : 563.04 = 242.12 : x
  2. Step 2: Convert to fraction form
    407.85/563.04 = 242.12/x
  3. Step 3: Cross multiply
    407.85x = 563.04 × 242.12
  4. Step 4: Simplify right side
    407.85x = 136,320.43
  5. Step 5: Solve for x
    x = 136,320.43/407.85
  6. Step 6: Final answer
    x = 334.24

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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.