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Finding the Fourth Proportional to 567.31, 782.98 and 346.39

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Solution

The fourth proportional to 567.31, 782.98 and 346.39 is: 478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.31 : 782.98 = 346.39 : x
  2. Step 2: Convert to fraction form
    567.31/782.98 = 346.39/x
  3. Step 3: Cross multiply
    567.31x = 782.98 × 346.39
  4. Step 4: Simplify right side
    567.31x = 271,214.71
  5. Step 5: Solve for x
    x = 271,214.71/567.31
  6. Step 6: Final answer
    x = 478.07

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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.