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Finding the Fourth Proportional to 555.94, 766.24 and 423.10

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Solution

The fourth proportional to 555.94, 766.24 and 423.10 is: 583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.94 : 766.24 = 423.10 : x
  2. Step 2: Convert to fraction form
    555.94/766.24 = 423.10/x
  3. Step 3: Cross multiply
    555.94x = 766.24 × 423.10
  4. Step 4: Simplify right side
    555.94x = 324,196.14
  5. Step 5: Solve for x
    x = 324,196.14/555.94
  6. Step 6: Final answer
    x = 583.15

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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.