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Finding the Fourth Proportional to 635.59, 876.82 and 370

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Solution

The fourth proportional to 635.59, 876.82 and 370 is: 510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.59 : 876.82 = 370 : x
  2. Step 2: Convert to fraction form
    635.59/876.82 = 370/x
  3. Step 3: Cross multiply
    635.59x = 876.82 × 370
  4. Step 4: Simplify right side
    635.59x = 324,423.40
  5. Step 5: Solve for x
    x = 324,423.40/635.59
  6. Step 6: Final answer
    x = 510.43

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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.