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Finding the Fourth Proportional to 522.62, 719.70 and 496.70

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Solution

The fourth proportional to 522.62, 719.70 and 496.70 is: 684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.62 : 719.70 = 496.70 : x
  2. Step 2: Convert to fraction form
    522.62/719.70 = 496.70/x
  3. Step 3: Cross multiply
    522.62x = 719.70 × 496.70
  4. Step 4: Simplify right side
    522.62x = 357,474.99
  5. Step 5: Solve for x
    x = 357,474.99/522.62
  6. Step 6: Final answer
    x = 684.01

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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.