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Finding the Fourth Proportional to 596, 822.62 and 430.64

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Solution

The fourth proportional to 596, 822.62 and 430.64 is: 594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 822.62 = 430.64 : x
  2. Step 2: Convert to fraction form
    596/822.62 = 430.64/x
  3. Step 3: Cross multiply
    596x = 822.62 × 430.64
  4. Step 4: Simplify right side
    596x = 354,253.08
  5. Step 5: Solve for x
    x = 354,253.08/596
  6. Step 6: Final answer
    x = 594.38

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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.