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Finding the Fourth Proportional to 580.68, 801.66 and 415.14

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Solution

The fourth proportional to 580.68, 801.66 and 415.14 is: 573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 801.66 = 415.14 : x
  2. Step 2: Convert to fraction form
    580.68/801.66 = 415.14/x
  3. Step 3: Cross multiply
    580.68x = 801.66 × 415.14
  4. Step 4: Simplify right side
    580.68x = 332,801.13
  5. Step 5: Solve for x
    x = 332,801.13/580.68
  6. Step 6: Final answer
    x = 573.12

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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.