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Finding the Fourth Proportional to 651.06, 898.38 and 430.38

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Solution

The fourth proportional to 651.06, 898.38 and 430.38 is: 593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.06 : 898.38 = 430.38 : x
  2. Step 2: Convert to fraction form
    651.06/898.38 = 430.38/x
  3. Step 3: Cross multiply
    651.06x = 898.38 × 430.38
  4. Step 4: Simplify right side
    651.06x = 386,644.78
  5. Step 5: Solve for x
    x = 386,644.78/651.06
  6. Step 6: Final answer
    x = 593.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.