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Finding the Fourth Proportional to 555.82, 767.10 and 322.95

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Solution

The fourth proportional to 555.82, 767.10 and 322.95 is: 445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.82 : 767.10 = 322.95 : x
  2. Step 2: Convert to fraction form
    555.82/767.10 = 322.95/x
  3. Step 3: Cross multiply
    555.82x = 767.10 × 322.95
  4. Step 4: Simplify right side
    555.82x = 247,731.20
  5. Step 5: Solve for x
    x = 247,731.20/555.82
  6. Step 6: Final answer
    x = 445.70

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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.