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Finding the Fourth Proportional to 532.02, 733.95 and 466.32

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Solution

The fourth proportional to 532.02, 733.95 and 466.32 is: 643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.02 : 733.95 = 466.32 : x
  2. Step 2: Convert to fraction form
    532.02/733.95 = 466.32/x
  3. Step 3: Cross multiply
    532.02x = 733.95 × 466.32
  4. Step 4: Simplify right side
    532.02x = 342,255.56
  5. Step 5: Solve for x
    x = 342,255.56/532.02
  6. Step 6: Final answer
    x = 643.31

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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.