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Finding the Fourth Proportional to 632.83, 873.28 and 384.02

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Solution

The fourth proportional to 632.83, 873.28 and 384.02 is: 529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.83 : 873.28 = 384.02 : x
  2. Step 2: Convert to fraction form
    632.83/873.28 = 384.02/x
  3. Step 3: Cross multiply
    632.83x = 873.28 × 384.02
  4. Step 4: Simplify right side
    632.83x = 335,356.99
  5. Step 5: Solve for x
    x = 335,356.99/632.83
  6. Step 6: Final answer
    x = 529.93

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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.