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Finding the Fourth Proportional to 635.67, 877.41 and 402.93

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Solution

The fourth proportional to 635.67, 877.41 and 402.93 is: 556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 877.41 = 402.93 : x
  2. Step 2: Convert to fraction form
    635.67/877.41 = 402.93/x
  3. Step 3: Cross multiply
    635.67x = 877.41 × 402.93
  4. Step 4: Simplify right side
    635.67x = 353,534.81
  5. Step 5: Solve for x
    x = 353,534.81/635.67
  6. Step 6: Final answer
    x = 556.16

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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.