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Finding the Fourth Proportional to 580.39, 800.61 and 469.67

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Solution

The fourth proportional to 580.39, 800.61 and 469.67 is: 647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.39 : 800.61 = 469.67 : x
  2. Step 2: Convert to fraction form
    580.39/800.61 = 469.67/x
  3. Step 3: Cross multiply
    580.39x = 800.61 × 469.67
  4. Step 4: Simplify right side
    580.39x = 376,024.81
  5. Step 5: Solve for x
    x = 376,024.81/580.39
  6. Step 6: Final answer
    x = 647.88

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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.