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Finding the Fourth Proportional to 589.90, 885.14 and 417.67

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Solution

The fourth proportional to 589.90, 885.14 and 417.67 is: 626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.90 : 885.14 = 417.67 : x
  2. Step 2: Convert to fraction form
    589.90/885.14 = 417.67/x
  3. Step 3: Cross multiply
    589.90x = 885.14 × 417.67
  4. Step 4: Simplify right side
    589.90x = 369,696.42
  5. Step 5: Solve for x
    x = 369,696.42/589.90
  6. Step 6: Final answer
    x = 626.71

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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.