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Finding the Fourth Proportional to 580.36, 866.90 and 416.74

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Solution

The fourth proportional to 580.36, 866.90 and 416.74 is: 622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.36 : 866.90 = 416.74 : x
  2. Step 2: Convert to fraction form
    580.36/866.90 = 416.74/x
  3. Step 3: Cross multiply
    580.36x = 866.90 × 416.74
  4. Step 4: Simplify right side
    580.36x = 361,271.91
  5. Step 5: Solve for x
    x = 361,271.91/580.36
  6. Step 6: Final answer
    x = 622.50

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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.