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Finding the Fourth Proportional to 555.71, 767.20 and 369.46

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Solution

The fourth proportional to 555.71, 767.20 and 369.46 is: 510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.71 : 767.20 = 369.46 : x
  2. Step 2: Convert to fraction form
    555.71/767.20 = 369.46/x
  3. Step 3: Cross multiply
    555.71x = 767.20 × 369.46
  4. Step 4: Simplify right side
    555.71x = 283,445.88
  5. Step 5: Solve for x
    x = 283,445.88/555.71
  6. Step 6: Final answer
    x = 510.06

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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.