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Finding the Fourth Proportional to 532.90, 799.36 and 417.44

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Solution

The fourth proportional to 532.90, 799.36 and 417.44 is: 626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.90 : 799.36 = 417.44 : x
  2. Step 2: Convert to fraction form
    532.90/799.36 = 417.44/x
  3. Step 3: Cross multiply
    532.90x = 799.36 × 417.44
  4. Step 4: Simplify right side
    532.90x = 333,685.79
  5. Step 5: Solve for x
    x = 333,685.79/532.90
  6. Step 6: Final answer
    x = 626.17

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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.