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Finding the Fourth Proportional to 688.59, 950.63 and 456.03

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Solution

The fourth proportional to 688.59, 950.63 and 456.03 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.59 : 950.63 = 456.03 : x
  2. Step 2: Convert to fraction form
    688.59/950.63 = 456.03/x
  3. Step 3: Cross multiply
    688.59x = 950.63 × 456.03
  4. Step 4: Simplify right side
    688.59x = 433,513.52
  5. Step 5: Solve for x
    x = 433,513.52/688.59
  6. Step 6: Final answer
    x = 629.57

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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.