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Finding the Fourth Proportional to 460.62, 692.43 and 357.94

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Solution

The fourth proportional to 460.62, 692.43 and 357.94 is: 538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 692.43 = 357.94 : x
  2. Step 2: Convert to fraction form
    460.62/692.43 = 357.94/x
  3. Step 3: Cross multiply
    460.62x = 692.43 × 357.94
  4. Step 4: Simplify right side
    460.62x = 247,848.39
  5. Step 5: Solve for x
    x = 247,848.39/460.62
  6. Step 6: Final answer
    x = 538.08

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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.