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Finding the Fourth Proportional to 532.35, 796.50 and 423

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Solution

The fourth proportional to 532.35, 796.50 and 423 is: 632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 796.50 = 423 : x
  2. Step 2: Convert to fraction form
    532.35/796.50 = 423/x
  3. Step 3: Cross multiply
    532.35x = 796.50 × 423
  4. Step 4: Simplify right side
    532.35x = 336,919.50
  5. Step 5: Solve for x
    x = 336,919.50/532.35
  6. Step 6: Final answer
    x = 632.89

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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.