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Finding the Fourth Proportional to 551.71, 826.88 and 291.67

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Solution

The fourth proportional to 551.71, 826.88 and 291.67 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.71 : 826.88 = 291.67 : x
  2. Step 2: Convert to fraction form
    551.71/826.88 = 291.67/x
  3. Step 3: Cross multiply
    551.71x = 826.88 × 291.67
  4. Step 4: Simplify right side
    551.71x = 241,172.56
  5. Step 5: Solve for x
    x = 241,172.56/551.71
  6. Step 6: Final answer
    x = 437.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.