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Finding the Fourth Proportional to 430.60, 646.01 and 187.16

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Solution

The fourth proportional to 430.60, 646.01 and 187.16 is: 280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.60 : 646.01 = 187.16 : x
  2. Step 2: Convert to fraction form
    430.60/646.01 = 187.16/x
  3. Step 3: Cross multiply
    430.60x = 646.01 × 187.16
  4. Step 4: Simplify right side
    430.60x = 120,904.47
  5. Step 5: Solve for x
    x = 120,904.47/430.60
  6. Step 6: Final answer
    x = 280.78

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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.