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Finding the Fourth Proportional to 579.81, 873.16 and 522.70

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Solution

The fourth proportional to 579.81, 873.16 and 522.70 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.81 : 873.16 = 522.70 : x
  2. Step 2: Convert to fraction form
    579.81/873.16 = 522.70/x
  3. Step 3: Cross multiply
    579.81x = 873.16 × 522.70
  4. Step 4: Simplify right side
    579.81x = 456,400.73
  5. Step 5: Solve for x
    x = 456,400.73/579.81
  6. Step 6: Final answer
    x = 787.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.