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Finding the Fourth Proportional to 532.96, 798.24 and 429.97

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Solution

The fourth proportional to 532.96, 798.24 and 429.97 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.96 : 798.24 = 429.97 : x
  2. Step 2: Convert to fraction form
    532.96/798.24 = 429.97/x
  3. Step 3: Cross multiply
    532.96x = 798.24 × 429.97
  4. Step 4: Simplify right side
    532.96x = 343,219.25
  5. Step 5: Solve for x
    x = 343,219.25/532.96
  6. Step 6: Final answer
    x = 643.99

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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.