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Finding the Fourth Proportional to 643.68, 887.76 and 457.79

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Solution

The fourth proportional to 643.68, 887.76 and 457.79 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.68 : 887.76 = 457.79 : x
  2. Step 2: Convert to fraction form
    643.68/887.76 = 457.79/x
  3. Step 3: Cross multiply
    643.68x = 887.76 × 457.79
  4. Step 4: Simplify right side
    643.68x = 406,403.21
  5. Step 5: Solve for x
    x = 406,403.21/643.68
  6. Step 6: Final answer
    x = 631.37

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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.