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Finding the Fourth Proportional to 555, 765.90 and 322.13

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Solution

The fourth proportional to 555, 765.90 and 322.13 is: 444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    555 : 765.90 = 322.13 : x
  2. Step 2: Convert to fraction form
    555/765.90 = 322.13/x
  3. Step 3: Cross multiply
    555x = 765.90 × 322.13
  4. Step 4: Simplify right side
    555x = 246,715.54
  5. Step 5: Solve for x
    x = 246,715.54/555
  6. Step 6: Final answer
    x = 444.53

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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.