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Finding the Fourth Proportional to 345, 475.02 and 308.04

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Solution

The fourth proportional to 345, 475.02 and 308.04 is: 424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345 : 475.02 = 308.04 : x
  2. Step 2: Convert to fraction form
    345/475.02 = 308.04/x
  3. Step 3: Cross multiply
    345x = 475.02 × 308.04
  4. Step 4: Simplify right side
    345x = 146,325.16
  5. Step 5: Solve for x
    x = 146,325.16/345
  6. Step 6: Final answer
    x = 424.13

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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.