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Finding the Fourth Proportional to 463.08, 692.82 and 359.58

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Solution

The fourth proportional to 463.08, 692.82 and 359.58 is: 537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.08 : 692.82 = 359.58 : x
  2. Step 2: Convert to fraction form
    463.08/692.82 = 359.58/x
  3. Step 3: Cross multiply
    463.08x = 692.82 × 359.58
  4. Step 4: Simplify right side
    463.08x = 249,124.22
  5. Step 5: Solve for x
    x = 249,124.22/463.08
  6. Step 6: Final answer
    x = 537.97

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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.