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Finding the Fourth Proportional to 634.23, 945.72 and 590.40

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Solution

The fourth proportional to 634.23, 945.72 and 590.40 is: 880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 945.72 = 590.40 : x
  2. Step 2: Convert to fraction form
    634.23/945.72 = 590.40/x
  3. Step 3: Cross multiply
    634.23x = 945.72 × 590.40
  4. Step 4: Simplify right side
    634.23x = 558,353.09
  5. Step 5: Solve for x
    x = 558,353.09/634.23
  6. Step 6: Final answer
    x = 880.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.