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Finding the Fourth Proportional to 430.65, 646.14 and 187.17

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Solution

The fourth proportional to 430.65, 646.14 and 187.17 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.65 : 646.14 = 187.17 : x
  2. Step 2: Convert to fraction form
    430.65/646.14 = 187.17/x
  3. Step 3: Cross multiply
    430.65x = 646.14 × 187.17
  4. Step 4: Simplify right side
    430.65x = 120,938.02
  5. Step 5: Solve for x
    x = 120,938.02/430.65
  6. Step 6: Final answer
    x = 280.83

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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.