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Finding the Fourth Proportional to 588.78, 812.16 and 456.12

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Solution

The fourth proportional to 588.78, 812.16 and 456.12 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 812.16 = 456.12 : x
  2. Step 2: Convert to fraction form
    588.78/812.16 = 456.12/x
  3. Step 3: Cross multiply
    588.78x = 812.16 × 456.12
  4. Step 4: Simplify right side
    588.78x = 370,442.42
  5. Step 5: Solve for x
    x = 370,442.42/588.78
  6. Step 6: Final answer
    x = 629.17

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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.