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Finding the Fourth Proportional to 589.27, 880.05 and 501.67

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Solution

The fourth proportional to 589.27, 880.05 and 501.67 is: 749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.27 : 880.05 = 501.67 : x
  2. Step 2: Convert to fraction form
    589.27/880.05 = 501.67/x
  3. Step 3: Cross multiply
    589.27x = 880.05 × 501.67
  4. Step 4: Simplify right side
    589.27x = 441,487.77
  5. Step 5: Solve for x
    x = 441,487.77/589.27
  6. Step 6: Final answer
    x = 749.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.