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Finding the Fourth Proportional to 333.99, 461.30 and 295.11

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Solution

The fourth proportional to 333.99, 461.30 and 295.11 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.99 : 461.30 = 295.11 : x
  2. Step 2: Convert to fraction form
    333.99/461.30 = 295.11/x
  3. Step 3: Cross multiply
    333.99x = 461.30 × 295.11
  4. Step 4: Simplify right side
    333.99x = 136,132.77
  5. Step 5: Solve for x
    x = 136,132.77/333.99
  6. Step 6: Final answer
    x = 407.60

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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.