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Finding the Fourth Proportional to 634.36, 875.04 and 469

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Solution

The fourth proportional to 634.36, 875.04 and 469 is: 646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.36 : 875.04 = 469 : x
  2. Step 2: Convert to fraction form
    634.36/875.04 = 469/x
  3. Step 3: Cross multiply
    634.36x = 875.04 × 469
  4. Step 4: Simplify right side
    634.36x = 410,393.76
  5. Step 5: Solve for x
    x = 410,393.76/634.36
  6. Step 6: Final answer
    x = 646.94

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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.