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Finding the Fourth Proportional to 506.84, 697.74 and 483.62

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Solution

The fourth proportional to 506.84, 697.74 and 483.62 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 697.74 = 483.62 : x
  2. Step 2: Convert to fraction form
    506.84/697.74 = 483.62/x
  3. Step 3: Cross multiply
    506.84x = 697.74 × 483.62
  4. Step 4: Simplify right side
    506.84x = 337,437.53
  5. Step 5: Solve for x
    x = 337,437.53/506.84
  6. Step 6: Final answer
    x = 665.77

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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.