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Finding the Fourth Proportional to 632.50, 873.06 and 423.04

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Solution

The fourth proportional to 632.50, 873.06 and 423.04 is: 583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.50 : 873.06 = 423.04 : x
  2. Step 2: Convert to fraction form
    632.50/873.06 = 423.04/x
  3. Step 3: Cross multiply
    632.50x = 873.06 × 423.04
  4. Step 4: Simplify right side
    632.50x = 369,339.30
  5. Step 5: Solve for x
    x = 369,339.30/632.50
  6. Step 6: Final answer
    x = 583.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.