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Finding the Fourth Proportional to 572.36, 789.71 and 362.16

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Solution

The fourth proportional to 572.36, 789.71 and 362.16 is: 499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.36 : 789.71 = 362.16 : x
  2. Step 2: Convert to fraction form
    572.36/789.71 = 362.16/x
  3. Step 3: Cross multiply
    572.36x = 789.71 × 362.16
  4. Step 4: Simplify right side
    572.36x = 286,001.37
  5. Step 5: Solve for x
    x = 286,001.37/572.36
  6. Step 6: Final answer
    x = 499.69

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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.