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Finding the Fourth Proportional to 580.84, 801.03 and 462.67

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Solution

The fourth proportional to 580.84, 801.03 and 462.67 is: 638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 801.03 = 462.67 : x
  2. Step 2: Convert to fraction form
    580.84/801.03 = 462.67/x
  3. Step 3: Cross multiply
    580.84x = 801.03 × 462.67
  4. Step 4: Simplify right side
    580.84x = 370,612.55
  5. Step 5: Solve for x
    x = 370,612.55/580.84
  6. Step 6: Final answer
    x = 638.06

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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.