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Finding the Fourth Proportional to 478.13, 659.08 and 330.51

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Solution

The fourth proportional to 478.13, 659.08 and 330.51 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 659.08 = 330.51 : x
  2. Step 2: Convert to fraction form
    478.13/659.08 = 330.51/x
  3. Step 3: Cross multiply
    478.13x = 659.08 × 330.51
  4. Step 4: Simplify right side
    478.13x = 217,832.53
  5. Step 5: Solve for x
    x = 217,832.53/478.13
  6. Step 6: Final answer
    x = 455.59

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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.