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Finding the Fourth Proportional to 330.52, 456.14 and 210.87

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Solution

The fourth proportional to 330.52, 456.14 and 210.87 is: 291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.52 : 456.14 = 210.87 : x
  2. Step 2: Convert to fraction form
    330.52/456.14 = 210.87/x
  3. Step 3: Cross multiply
    330.52x = 456.14 × 210.87
  4. Step 4: Simplify right side
    330.52x = 96,185.14
  5. Step 5: Solve for x
    x = 96,185.14/330.52
  6. Step 6: Final answer
    x = 291.01

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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.