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Finding the Fourth Proportional to 456.12, 629.68 and 307.16

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Solution

The fourth proportional to 456.12, 629.68 and 307.16 is: 424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.12 : 629.68 = 307.16 : x
  2. Step 2: Convert to fraction form
    456.12/629.68 = 307.16/x
  3. Step 3: Cross multiply
    456.12x = 629.68 × 307.16
  4. Step 4: Simplify right side
    456.12x = 193,412.51
  5. Step 5: Solve for x
    x = 193,412.51/456.12
  6. Step 6: Final answer
    x = 424.04

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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.