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Finding the Fourth Proportional to 554.12, 829.92 and 462.32

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Solution

The fourth proportional to 554.12, 829.92 and 462.32 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.12 : 829.92 = 462.32 : x
  2. Step 2: Convert to fraction form
    554.12/829.92 = 462.32/x
  3. Step 3: Cross multiply
    554.12x = 829.92 × 462.32
  4. Step 4: Simplify right side
    554.12x = 383,688.61
  5. Step 5: Solve for x
    x = 383,688.61/554.12
  6. Step 6: Final answer
    x = 692.43

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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.