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Finding the Fourth Proportional to 431.18, 646.59 and 187.53

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Solution

The fourth proportional to 431.18, 646.59 and 187.53 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.18 : 646.59 = 187.53 : x
  2. Step 2: Convert to fraction form
    431.18/646.59 = 187.53/x
  3. Step 3: Cross multiply
    431.18x = 646.59 × 187.53
  4. Step 4: Simplify right side
    431.18x = 121,255.02
  5. Step 5: Solve for x
    x = 121,255.02/431.18
  6. Step 6: Final answer
    x = 281.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.