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Finding the Fourth Proportional to 659.71, 910.48 and 423.57

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Solution

The fourth proportional to 659.71, 910.48 and 423.57 is: 584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 910.48 = 423.57 : x
  2. Step 2: Convert to fraction form
    659.71/910.48 = 423.57/x
  3. Step 3: Cross multiply
    659.71x = 910.48 × 423.57
  4. Step 4: Simplify right side
    659.71x = 385,648.17
  5. Step 5: Solve for x
    x = 385,648.17/659.71
  6. Step 6: Final answer
    x = 584.57

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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.