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Finding the Fourth Proportional to 430.87, 646.36 and 187.57

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Solution

The fourth proportional to 430.87, 646.36 and 187.57 is: 281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.87 : 646.36 = 187.57 : x
  2. Step 2: Convert to fraction form
    430.87/646.36 = 187.57/x
  3. Step 3: Cross multiply
    430.87x = 646.36 × 187.57
  4. Step 4: Simplify right side
    430.87x = 121,237.75
  5. Step 5: Solve for x
    x = 121,237.75/430.87
  6. Step 6: Final answer
    x = 281.38

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Why These Related Problems?

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