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Finding the Fourth Proportional to 581.76, 803.34 and 484.56

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Solution

The fourth proportional to 581.76, 803.34 and 484.56 is: 669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 803.34 = 484.56 : x
  2. Step 2: Convert to fraction form
    581.76/803.34 = 484.56/x
  3. Step 3: Cross multiply
    581.76x = 803.34 × 484.56
  4. Step 4: Simplify right side
    581.76x = 389,266.43
  5. Step 5: Solve for x
    x = 389,266.43/581.76
  6. Step 6: Final answer
    x = 669.12

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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.