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Finding the Fourth Proportional to 636.34, 877.78 and 459.10

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Solution

The fourth proportional to 636.34, 877.78 and 459.10 is: 633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.34 : 877.78 = 459.10 : x
  2. Step 2: Convert to fraction form
    636.34/877.78 = 459.10/x
  3. Step 3: Cross multiply
    636.34x = 877.78 × 459.10
  4. Step 4: Simplify right side
    636.34x = 402,990.47
  5. Step 5: Solve for x
    x = 402,990.47/636.34
  6. Step 6: Final answer
    x = 633.30

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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.