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Finding the Fourth Proportional to 579.98, 869.96 and 214.76

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Solution

The fourth proportional to 579.98, 869.96 and 214.76 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.98 : 869.96 = 214.76 : x
  2. Step 2: Convert to fraction form
    579.98/869.96 = 214.76/x
  3. Step 3: Cross multiply
    579.98x = 869.96 × 214.76
  4. Step 4: Simplify right side
    579.98x = 186,827.19
  5. Step 5: Solve for x
    x = 186,827.19/579.98
  6. Step 6: Final answer
    x = 322.13

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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.