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Finding the Fourth Proportional to 580.12, 870.81 and 417.28

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Solution

The fourth proportional to 580.12, 870.81 and 417.28 is: 626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 870.81 = 417.28 : x
  2. Step 2: Convert to fraction form
    580.12/870.81 = 417.28/x
  3. Step 3: Cross multiply
    580.12x = 870.81 × 417.28
  4. Step 4: Simplify right side
    580.12x = 363,371.60
  5. Step 5: Solve for x
    x = 363,371.60/580.12
  6. Step 6: Final answer
    x = 626.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.