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Finding the Fourth Proportional to 345.57, 475.86 and 307.68

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Solution

The fourth proportional to 345.57, 475.86 and 307.68 is: 423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.57 : 475.86 = 307.68 : x
  2. Step 2: Convert to fraction form
    345.57/475.86 = 307.68/x
  3. Step 3: Cross multiply
    345.57x = 475.86 × 307.68
  4. Step 4: Simplify right side
    345.57x = 146,412.60
  5. Step 5: Solve for x
    x = 146,412.60/345.57
  6. Step 6: Final answer
    x = 423.68

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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.