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Finding the Fourth Proportional to 569.13, 784.67 and 372.57

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Solution

The fourth proportional to 569.13, 784.67 and 372.57 is: 513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 784.67 = 372.57 : x
  2. Step 2: Convert to fraction form
    569.13/784.67 = 372.57/x
  3. Step 3: Cross multiply
    569.13x = 784.67 × 372.57
  4. Step 4: Simplify right side
    569.13x = 292,342.64
  5. Step 5: Solve for x
    x = 292,342.64/569.13
  6. Step 6: Final answer
    x = 513.67

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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.