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Finding the Fourth Proportional to 628.93, 867.52 and 419.04

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Solution

The fourth proportional to 628.93, 867.52 and 419.04 is: 578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.93 : 867.52 = 419.04 : x
  2. Step 2: Convert to fraction form
    628.93/867.52 = 419.04/x
  3. Step 3: Cross multiply
    628.93x = 867.52 × 419.04
  4. Step 4: Simplify right side
    628.93x = 363,525.58
  5. Step 5: Solve for x
    x = 363,525.58/628.93
  6. Step 6: Final answer
    x = 578.01

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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.