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Finding the Fourth Proportional to 632.98, 873.57 and 384.27

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Solution

The fourth proportional to 632.98, 873.57 and 384.27 is: 530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.98 : 873.57 = 384.27 : x
  2. Step 2: Convert to fraction form
    632.98/873.57 = 384.27/x
  3. Step 3: Cross multiply
    632.98x = 873.57 × 384.27
  4. Step 4: Simplify right side
    632.98x = 335,686.74
  5. Step 5: Solve for x
    x = 335,686.74/632.98
  6. Step 6: Final answer
    x = 530.33

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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.