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Finding the Fourth Proportional to 651.24, 898.12 and 430.41

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Solution

The fourth proportional to 651.24, 898.12 and 430.41 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 898.12 = 430.41 : x
  2. Step 2: Convert to fraction form
    651.24/898.12 = 430.41/x
  3. Step 3: Cross multiply
    651.24x = 898.12 × 430.41
  4. Step 4: Simplify right side
    651.24x = 386,559.83
  5. Step 5: Solve for x
    x = 386,559.83/651.24
  6. Step 6: Final answer
    x = 593.58

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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.