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Finding the Fourth Proportional to 345.88, 478.02 and 302.68

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Solution

The fourth proportional to 345.88, 478.02 and 302.68 is: 418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.88 : 478.02 = 302.68 : x
  2. Step 2: Convert to fraction form
    345.88/478.02 = 302.68/x
  3. Step 3: Cross multiply
    345.88x = 478.02 × 302.68
  4. Step 4: Simplify right side
    345.88x = 144,687.09
  5. Step 5: Solve for x
    x = 144,687.09/345.88
  6. Step 6: Final answer
    x = 418.32

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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.