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Finding the Fourth Proportional to 581.04, 801.63 and 415.26

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Solution

The fourth proportional to 581.04, 801.63 and 415.26 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.04 : 801.63 = 415.26 : x
  2. Step 2: Convert to fraction form
    581.04/801.63 = 415.26/x
  3. Step 3: Cross multiply
    581.04x = 801.63 × 415.26
  4. Step 4: Simplify right side
    581.04x = 332,884.87
  5. Step 5: Solve for x
    x = 332,884.87/581.04
  6. Step 6: Final answer
    x = 572.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.