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Finding the Fourth Proportional to 430.91, 646.43 and 407.57

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Solution

The fourth proportional to 430.91, 646.43 and 407.57 is: 611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.91 : 646.43 = 407.57 : x
  2. Step 2: Convert to fraction form
    430.91/646.43 = 407.57/x
  3. Step 3: Cross multiply
    430.91x = 646.43 × 407.57
  4. Step 4: Simplify right side
    430.91x = 263,460.21
  5. Step 5: Solve for x
    x = 263,460.21/430.91
  6. Step 6: Final answer
    x = 611.41

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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.