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Finding the Fourth Proportional to 532.83, 795.43 and 463.62

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Solution

The fourth proportional to 532.83, 795.43 and 463.62 is: 692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 795.43 = 463.62 : x
  2. Step 2: Convert to fraction form
    532.83/795.43 = 463.62/x
  3. Step 3: Cross multiply
    532.83x = 795.43 × 463.62
  4. Step 4: Simplify right side
    532.83x = 368,777.26
  5. Step 5: Solve for x
    x = 368,777.26/532.83
  6. Step 6: Final answer
    x = 692.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.