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Finding the Fourth Proportional to 581.04, 872.64 and 365.04

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Solution

The fourth proportional to 581.04, 872.64 and 365.04 is: 548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.04 : 872.64 = 365.04 : x
  2. Step 2: Convert to fraction form
    581.04/872.64 = 365.04/x
  3. Step 3: Cross multiply
    581.04x = 872.64 × 365.04
  4. Step 4: Simplify right side
    581.04x = 318,548.51
  5. Step 5: Solve for x
    x = 318,548.51/581.04
  6. Step 6: Final answer
    x = 548.24

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