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Finding the Fourth Proportional to 588.96, 812.56 and 364.72

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Solution

The fourth proportional to 588.96, 812.56 and 364.72 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 812.56 = 364.72 : x
  2. Step 2: Convert to fraction form
    588.96/812.56 = 364.72/x
  3. Step 3: Cross multiply
    588.96x = 812.56 × 364.72
  4. Step 4: Simplify right side
    588.96x = 296,356.88
  5. Step 5: Solve for x
    x = 296,356.88/588.96
  6. Step 6: Final answer
    x = 503.19

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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.