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Finding the Fourth Proportional to 581.84, 872.30 and 398.68

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Solution

The fourth proportional to 581.84, 872.30 and 398.68 is: 597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.84 : 872.30 = 398.68 : x
  2. Step 2: Convert to fraction form
    581.84/872.30 = 398.68/x
  3. Step 3: Cross multiply
    581.84x = 872.30 × 398.68
  4. Step 4: Simplify right side
    581.84x = 347,767.38
  5. Step 5: Solve for x
    x = 347,767.38/581.84
  6. Step 6: Final answer
    x = 597.70

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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.