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Finding the Fourth Proportional to 649.04, 973.08 and 319.88

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Solution

The fourth proportional to 649.04, 973.08 and 319.88 is: 479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 973.08 = 319.88 : x
  2. Step 2: Convert to fraction form
    649.04/973.08 = 319.88/x
  3. Step 3: Cross multiply
    649.04x = 973.08 × 319.88
  4. Step 4: Simplify right side
    649.04x = 311,263.97
  5. Step 5: Solve for x
    x = 311,263.97/649.04
  6. Step 6: Final answer
    x = 479.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.