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Finding the Fourth Proportional to 532.01, 797.94 and 294.63

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Solution

The fourth proportional to 532.01, 797.94 and 294.63 is: 441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.01 : 797.94 = 294.63 : x
  2. Step 2: Convert to fraction form
    532.01/797.94 = 294.63/x
  3. Step 3: Cross multiply
    532.01x = 797.94 × 294.63
  4. Step 4: Simplify right side
    532.01x = 235,097.06
  5. Step 5: Solve for x
    x = 235,097.06/532.01
  6. Step 6: Final answer
    x = 441.90

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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.