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Finding the Fourth Proportional to 555.49, 766.67 and 422.50

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Solution

The fourth proportional to 555.49, 766.67 and 422.50 is: 583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.49 : 766.67 = 422.50 : x
  2. Step 2: Convert to fraction form
    555.49/766.67 = 422.50/x
  3. Step 3: Cross multiply
    555.49x = 766.67 × 422.50
  4. Step 4: Simplify right side
    555.49x = 323,914.67
  5. Step 5: Solve for x
    x = 323,914.67/555.49
  6. Step 6: Final answer
    x = 583.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.