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Finding the Fourth Proportional to 557.45, 834.62 and 362.67

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Solution

The fourth proportional to 557.45, 834.62 and 362.67 is: 542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.45 : 834.62 = 362.67 : x
  2. Step 2: Convert to fraction form
    557.45/834.62 = 362.67/x
  3. Step 3: Cross multiply
    557.45x = 834.62 × 362.67
  4. Step 4: Simplify right side
    557.45x = 302,689.82
  5. Step 5: Solve for x
    x = 302,689.82/557.45
  6. Step 6: Final answer
    x = 542.99

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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.