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Finding the Fourth Proportional to 581.04, 801.23 and 476.28

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Solution

The fourth proportional to 581.04, 801.23 and 476.28 is: 656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.04 : 801.23 = 476.28 : x
  2. Step 2: Convert to fraction form
    581.04/801.23 = 476.28/x
  3. Step 3: Cross multiply
    581.04x = 801.23 × 476.28
  4. Step 4: Simplify right side
    581.04x = 381,607.44
  5. Step 5: Solve for x
    x = 381,607.44/581.04
  6. Step 6: Final answer
    x = 656.77

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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.