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Finding the Fourth Proportional to 649.40, 895.50 and 452.84

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Solution

The fourth proportional to 649.40, 895.50 and 452.84 is: 624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 895.50 = 452.84 : x
  2. Step 2: Convert to fraction form
    649.40/895.50 = 452.84/x
  3. Step 3: Cross multiply
    649.40x = 895.50 × 452.84
  4. Step 4: Simplify right side
    649.40x = 405,518.22
  5. Step 5: Solve for x
    x = 405,518.22/649.40
  6. Step 6: Final answer
    x = 624.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.