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Finding the Fourth Proportional to 370, 510.62 and 214.76

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Solution

The fourth proportional to 370, 510.62 and 214.76 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370 : 510.62 = 214.76 : x
  2. Step 2: Convert to fraction form
    370/510.62 = 214.76/x
  3. Step 3: Cross multiply
    370x = 510.62 × 214.76
  4. Step 4: Simplify right side
    370x = 109,660.75
  5. Step 5: Solve for x
    x = 109,660.75/370
  6. Step 6: Final answer
    x = 296.38

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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.