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Finding the Fourth Proportional to 567.25, 782.58 and 357.34

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Solution

The fourth proportional to 567.25, 782.58 and 357.34 is: 492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 782.58 = 357.34 : x
  2. Step 2: Convert to fraction form
    567.25/782.58 = 357.34/x
  3. Step 3: Cross multiply
    567.25x = 782.58 × 357.34
  4. Step 4: Simplify right side
    567.25x = 279,647.14
  5. Step 5: Solve for x
    x = 279,647.14/567.25
  6. Step 6: Final answer
    x = 492.99

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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.