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Finding the Fourth Proportional to 580.50, 801.18 and 440.82

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Solution

The fourth proportional to 580.50, 801.18 and 440.82 is: 608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.50 : 801.18 = 440.82 : x
  2. Step 2: Convert to fraction form
    580.50/801.18 = 440.82/x
  3. Step 3: Cross multiply
    580.50x = 801.18 × 440.82
  4. Step 4: Simplify right side
    580.50x = 353,176.17
  5. Step 5: Solve for x
    x = 353,176.17/580.50
  6. Step 6: Final answer
    x = 608.40

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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.