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Finding the Fourth Proportional to 375.60, 518.04 and 296.88

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Solution

The fourth proportional to 375.60, 518.04 and 296.88 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 518.04 = 296.88 : x
  2. Step 2: Convert to fraction form
    375.60/518.04 = 296.88/x
  3. Step 3: Cross multiply
    375.60x = 518.04 × 296.88
  4. Step 4: Simplify right side
    375.60x = 153,795.72
  5. Step 5: Solve for x
    x = 153,795.72/375.60
  6. Step 6: Final answer
    x = 409.47

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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.