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Finding the Fourth Proportional to 567.10, 782.66 and 346.08

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Solution

The fourth proportional to 567.10, 782.66 and 346.08 is: 477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.10 : 782.66 = 346.08 : x
  2. Step 2: Convert to fraction form
    567.10/782.66 = 346.08/x
  3. Step 3: Cross multiply
    567.10x = 782.66 × 346.08
  4. Step 4: Simplify right side
    567.10x = 270,863.84
  5. Step 5: Solve for x
    x = 270,863.84/567.10
  6. Step 6: Final answer
    x = 477.63

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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.