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Finding the Fourth Proportional to 465.03, 692.22 and 458.10

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Solution

The fourth proportional to 465.03, 692.22 and 458.10 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.03 : 692.22 = 458.10 : x
  2. Step 2: Convert to fraction form
    465.03/692.22 = 458.10/x
  3. Step 3: Cross multiply
    465.03x = 692.22 × 458.10
  4. Step 4: Simplify right side
    465.03x = 317,105.98
  5. Step 5: Solve for x
    x = 317,105.98/465.03
  6. Step 6: Final answer
    x = 681.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.