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Finding the Fourth Proportional to 555.61, 768.20 and 462.32

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Solution

The fourth proportional to 555.61, 768.20 and 462.32 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.61 : 768.20 = 462.32 : x
  2. Step 2: Convert to fraction form
    555.61/768.20 = 462.32/x
  3. Step 3: Cross multiply
    555.61x = 768.20 × 462.32
  4. Step 4: Simplify right side
    555.61x = 355,154.22
  5. Step 5: Solve for x
    x = 355,154.22/555.61
  6. Step 6: Final answer
    x = 639.21

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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.