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Finding the Fourth Proportional to 632.98, 873.66 and 423.16

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Solution

The fourth proportional to 632.98, 873.66 and 423.16 is: 584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.98 : 873.66 = 423.16 : x
  2. Step 2: Convert to fraction form
    632.98/873.66 = 423.16/x
  3. Step 3: Cross multiply
    632.98x = 873.66 × 423.16
  4. Step 4: Simplify right side
    632.98x = 369,697.97
  5. Step 5: Solve for x
    x = 369,697.97/632.98
  6. Step 6: Final answer
    x = 584.06

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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.