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Finding the Fourth Proportional to 635.61, 877.01 and 370.02

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Solution

The fourth proportional to 635.61, 877.01 and 370.02 is: 510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.61 : 877.01 = 370.02 : x
  2. Step 2: Convert to fraction form
    635.61/877.01 = 370.02/x
  3. Step 3: Cross multiply
    635.61x = 877.01 × 370.02
  4. Step 4: Simplify right side
    635.61x = 324,509.39
  5. Step 5: Solve for x
    x = 324,509.39/635.61
  6. Step 6: Final answer
    x = 510.55

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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.