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Finding the Fourth Proportional to 567.56, 783.09 and 346.52

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Solution

The fourth proportional to 567.56, 783.09 and 346.52 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.56 : 783.09 = 346.52 : x
  2. Step 2: Convert to fraction form
    567.56/783.09 = 346.52/x
  3. Step 3: Cross multiply
    567.56x = 783.09 × 346.52
  4. Step 4: Simplify right side
    567.56x = 271,352.43
  5. Step 5: Solve for x
    x = 271,352.43/567.56
  6. Step 6: Final answer
    x = 478.11

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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.