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Finding the Fourth Proportional to 354.59, 489.33 and 214.67

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Solution

The fourth proportional to 354.59, 489.33 and 214.67 is: 296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.59 : 489.33 = 214.67 : x
  2. Step 2: Convert to fraction form
    354.59/489.33 = 214.67/x
  3. Step 3: Cross multiply
    354.59x = 489.33 × 214.67
  4. Step 4: Simplify right side
    354.59x = 105,045.69
  5. Step 5: Solve for x
    x = 105,045.69/354.59
  6. Step 6: Final answer
    x = 296.25

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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.