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Finding the Fourth Proportional to 567.55, 782.89 and 410.01

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Solution

The fourth proportional to 567.55, 782.89 and 410.01 is: 565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.55 : 782.89 = 410.01 : x
  2. Step 2: Convert to fraction form
    567.55/782.89 = 410.01/x
  3. Step 3: Cross multiply
    567.55x = 782.89 × 410.01
  4. Step 4: Simplify right side
    567.55x = 320,992.73
  5. Step 5: Solve for x
    x = 320,992.73/567.55
  6. Step 6: Final answer
    x = 565.58

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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.