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Finding the Fourth Proportional to 315.04, 435.12 and 241.20

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Solution

The fourth proportional to 315.04, 435.12 and 241.20 is: 333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.04 : 435.12 = 241.20 : x
  2. Step 2: Convert to fraction form
    315.04/435.12 = 241.20/x
  3. Step 3: Cross multiply
    315.04x = 435.12 × 241.20
  4. Step 4: Simplify right side
    315.04x = 104,950.94
  5. Step 5: Solve for x
    x = 104,950.94/315.04
  6. Step 6: Final answer
    x = 333.14

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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.