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Finding the Fourth Proportional to 558.39, 837.18 and 462

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Solution

The fourth proportional to 558.39, 837.18 and 462 is: 692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.39 : 837.18 = 462 : x
  2. Step 2: Convert to fraction form
    558.39/837.18 = 462/x
  3. Step 3: Cross multiply
    558.39x = 837.18 × 462
  4. Step 4: Simplify right side
    558.39x = 386,777.16
  5. Step 5: Solve for x
    x = 386,777.16/558.39
  6. Step 6: Final answer
    x = 692.66

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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.