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Finding the Fourth Proportional to 333.12, 460.14 and 302.06

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Solution

The fourth proportional to 333.12, 460.14 and 302.06 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.12 : 460.14 = 302.06 : x
  2. Step 2: Convert to fraction form
    333.12/460.14 = 302.06/x
  3. Step 3: Cross multiply
    333.12x = 460.14 × 302.06
  4. Step 4: Simplify right side
    333.12x = 138,989.89
  5. Step 5: Solve for x
    x = 138,989.89/333.12
  6. Step 6: Final answer
    x = 417.24

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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.