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Finding the Fourth Proportional to 635.03, 875.76 and 410.85

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Solution

The fourth proportional to 635.03, 875.76 and 410.85 is: 566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.03 : 875.76 = 410.85 : x
  2. Step 2: Convert to fraction form
    635.03/875.76 = 410.85/x
  3. Step 3: Cross multiply
    635.03x = 875.76 × 410.85
  4. Step 4: Simplify right side
    635.03x = 359,806.00
  5. Step 5: Solve for x
    x = 359,806.00/635.03
  6. Step 6: Final answer
    x = 566.60

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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.