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Finding the Fourth Proportional to 651.63, 899.31 and 430.63

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Solution

The fourth proportional to 651.63, 899.31 and 430.63 is: 594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.63 : 899.31 = 430.63 : x
  2. Step 2: Convert to fraction form
    651.63/899.31 = 430.63/x
  3. Step 3: Cross multiply
    651.63x = 899.31 × 430.63
  4. Step 4: Simplify right side
    651.63x = 387,269.87
  5. Step 5: Solve for x
    x = 387,269.87/651.63
  6. Step 6: Final answer
    x = 594.31

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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.