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Finding the Fourth Proportional to 345.12, 514.38 and 271.68

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Solution

The fourth proportional to 345.12, 514.38 and 271.68 is: 404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 514.38 = 271.68 : x
  2. Step 2: Convert to fraction form
    345.12/514.38 = 271.68/x
  3. Step 3: Cross multiply
    345.12x = 514.38 × 271.68
  4. Step 4: Simplify right side
    345.12x = 139,746.76
  5. Step 5: Solve for x
    x = 139,746.76/345.12
  6. Step 6: Final answer
    x = 404.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.