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Finding the Fourth Proportional to 567.46, 782.70 and 371.20

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Solution

The fourth proportional to 567.46, 782.70 and 371.20 is: 512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.46 : 782.70 = 371.20 : x
  2. Step 2: Convert to fraction form
    567.46/782.70 = 371.20/x
  3. Step 3: Cross multiply
    567.46x = 782.70 × 371.20
  4. Step 4: Simplify right side
    567.46x = 290,538.24
  5. Step 5: Solve for x
    x = 290,538.24/567.46
  6. Step 6: Final answer
    x = 512.00

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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.