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Finding the Fourth Proportional to 649.23, 895.80 and 369.40

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Solution

The fourth proportional to 649.23, 895.80 and 369.40 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.23 : 895.80 = 369.40 : x
  2. Step 2: Convert to fraction form
    649.23/895.80 = 369.40/x
  3. Step 3: Cross multiply
    649.23x = 895.80 × 369.40
  4. Step 4: Simplify right side
    649.23x = 330,908.52
  5. Step 5: Solve for x
    x = 330,908.52/649.23
  6. Step 6: Final answer
    x = 509.69

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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.