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Finding the Fourth Proportional to 551.70, 760.02 and 468.54

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Solution

The fourth proportional to 551.70, 760.02 and 468.54 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 760.02 = 468.54 : x
  2. Step 2: Convert to fraction form
    551.70/760.02 = 468.54/x
  3. Step 3: Cross multiply
    551.70x = 760.02 × 468.54
  4. Step 4: Simplify right side
    551.70x = 356,099.77
  5. Step 5: Solve for x
    x = 356,099.77/551.70
  6. Step 6: Final answer
    x = 645.46

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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.