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Finding the Fourth Proportional to 628.99, 867.58 and 432.16

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Solution

The fourth proportional to 628.99, 867.58 and 432.16 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.99 : 867.58 = 432.16 : x
  2. Step 2: Convert to fraction form
    628.99/867.58 = 432.16/x
  3. Step 3: Cross multiply
    628.99x = 867.58 × 432.16
  4. Step 4: Simplify right side
    628.99x = 374,933.37
  5. Step 5: Solve for x
    x = 374,933.37/628.99
  6. Step 6: Final answer
    x = 596.09

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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.