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Finding the Fourth Proportional to 465.53, 692.97 and 458.61

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Solution

The fourth proportional to 465.53, 692.97 and 458.61 is: 682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.53 : 692.97 = 458.61 : x
  2. Step 2: Convert to fraction form
    465.53/692.97 = 458.61/x
  3. Step 3: Cross multiply
    465.53x = 692.97 × 458.61
  4. Step 4: Simplify right side
    465.53x = 317,799.51
  5. Step 5: Solve for x
    x = 317,799.51/465.53
  6. Step 6: Final answer
    x = 682.67

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