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Finding the Fourth Proportional to 950.33, 1,425.95 and 430.70

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Solution

The fourth proportional to 950.33, 1,425.95 and 430.70 is: 646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.33 : 1,425.95 = 430.70 : x
  2. Step 2: Convert to fraction form
    950.33/1,425.95 = 430.70/x
  3. Step 3: Cross multiply
    950.33x = 1,425.95 × 430.70
  4. Step 4: Simplify right side
    950.33x = 614,156.67
  5. Step 5: Solve for x
    x = 614,156.67/950.33
  6. Step 6: Final answer
    x = 646.26

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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.