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Finding the Fourth Proportional to 430.56, 646.56 and 411.84

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Solution

The fourth proportional to 430.56, 646.56 and 411.84 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 646.56 = 411.84 : x
  2. Step 2: Convert to fraction form
    430.56/646.56 = 411.84/x
  3. Step 3: Cross multiply
    430.56x = 646.56 × 411.84
  4. Step 4: Simplify right side
    430.56x = 266,279.27
  5. Step 5: Solve for x
    x = 266,279.27/430.56
  6. Step 6: Final answer
    x = 618.45

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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.