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Finding the Fourth Proportional to 649.02, 895.70 and 369.26

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Solution

The fourth proportional to 649.02, 895.70 and 369.26 is: 509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 895.70 = 369.26 : x
  2. Step 2: Convert to fraction form
    649.02/895.70 = 369.26/x
  3. Step 3: Cross multiply
    649.02x = 895.70 × 369.26
  4. Step 4: Simplify right side
    649.02x = 330,746.18
  5. Step 5: Solve for x
    x = 330,746.18/649.02
  6. Step 6: Final answer
    x = 509.61

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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.