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Finding the Fourth Proportional to 585.09, 876.42 and 423.63

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Solution

The fourth proportional to 585.09, 876.42 and 423.63 is: 634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 876.42 = 423.63 : x
  2. Step 2: Convert to fraction form
    585.09/876.42 = 423.63/x
  3. Step 3: Cross multiply
    585.09x = 876.42 × 423.63
  4. Step 4: Simplify right side
    585.09x = 371,277.80
  5. Step 5: Solve for x
    x = 371,277.80/585.09
  6. Step 6: Final answer
    x = 634.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.