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Finding the Fourth Proportional to 345.36, 475.56 and 296.16

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Solution

The fourth proportional to 345.36, 475.56 and 296.16 is: 407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.36 : 475.56 = 296.16 : x
  2. Step 2: Convert to fraction form
    345.36/475.56 = 296.16/x
  3. Step 3: Cross multiply
    345.36x = 475.56 × 296.16
  4. Step 4: Simplify right side
    345.36x = 140,841.85
  5. Step 5: Solve for x
    x = 140,841.85/345.36
  6. Step 6: Final answer
    x = 407.81

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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.