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Finding the Fourth Proportional to 461.63, 688.04 and 435.68

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Solution

The fourth proportional to 461.63, 688.04 and 435.68 is: 649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 688.04 = 435.68 : x
  2. Step 2: Convert to fraction form
    461.63/688.04 = 435.68/x
  3. Step 3: Cross multiply
    461.63x = 688.04 × 435.68
  4. Step 4: Simplify right side
    461.63x = 299,759.65
  5. Step 5: Solve for x
    x = 299,759.65/461.63
  6. Step 6: Final answer
    x = 649.36

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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.