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Finding the Fourth Proportional to 482.30, 719.30 and 435.59

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Solution

The fourth proportional to 482.30, 719.30 and 435.59 is: 649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 719.30 = 435.59 : x
  2. Step 2: Convert to fraction form
    482.30/719.30 = 435.59/x
  3. Step 3: Cross multiply
    482.30x = 719.30 × 435.59
  4. Step 4: Simplify right side
    482.30x = 313,315.91
  5. Step 5: Solve for x
    x = 313,315.91/482.30
  6. Step 6: Final answer
    x = 649.63

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Why These Related Problems?

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