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Finding the Fourth Proportional to 462.24, 692.15 and 451.31

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Solution

The fourth proportional to 462.24, 692.15 and 451.31 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 692.15 = 451.31 : x
  2. Step 2: Convert to fraction form
    462.24/692.15 = 451.31/x
  3. Step 3: Cross multiply
    462.24x = 692.15 × 451.31
  4. Step 4: Simplify right side
    462.24x = 312,368.50
  5. Step 5: Solve for x
    x = 312,368.50/462.24
  6. Step 6: Final answer
    x = 675.77

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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.