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Finding the Fourth Proportional to 567.96, 784 and 371.52

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Solution

The fourth proportional to 567.96, 784 and 371.52 is: 512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.96 : 784 = 371.52 : x
  2. Step 2: Convert to fraction form
    567.96/784 = 371.52/x
  3. Step 3: Cross multiply
    567.96x = 784 × 371.52
  4. Step 4: Simplify right side
    567.96x = 291,271.68
  5. Step 5: Solve for x
    x = 291,271.68/567.96
  6. Step 6: Final answer
    x = 512.84

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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.