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Finding the Fourth Proportional to 572.42, 789.64 and 362.24

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Solution

The fourth proportional to 572.42, 789.64 and 362.24 is: 499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 789.64 = 362.24 : x
  2. Step 2: Convert to fraction form
    572.42/789.64 = 362.24/x
  3. Step 3: Cross multiply
    572.42x = 789.64 × 362.24
  4. Step 4: Simplify right side
    572.42x = 286,034.34
  5. Step 5: Solve for x
    x = 286,034.34/572.42
  6. Step 6: Final answer
    x = 499.70

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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.