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Finding the Fourth Proportional to 462.04, 692.70 and 407.32

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Solution

The fourth proportional to 462.04, 692.70 and 407.32 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.04 : 692.70 = 407.32 : x
  2. Step 2: Convert to fraction form
    462.04/692.70 = 407.32/x
  3. Step 3: Cross multiply
    462.04x = 692.70 × 407.32
  4. Step 4: Simplify right side
    462.04x = 282,150.56
  5. Step 5: Solve for x
    x = 282,150.56/462.04
  6. Step 6: Final answer
    x = 610.66

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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.