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Finding the Fourth Proportional to 810.56, 1,215.64 and 377.28

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Solution

The fourth proportional to 810.56, 1,215.64 and 377.28 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.56 : 1,215.64 = 377.28 : x
  2. Step 2: Convert to fraction form
    810.56/1,215.64 = 377.28/x
  3. Step 3: Cross multiply
    810.56x = 1,215.64 × 377.28
  4. Step 4: Simplify right side
    810.56x = 458,636.66
  5. Step 5: Solve for x
    x = 458,636.66/810.56
  6. Step 6: Final answer
    x = 565.83

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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.