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Finding the Fourth Proportional to 567.70, 783.41 and 346.84

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Solution

The fourth proportional to 567.70, 783.41 and 346.84 is: 478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.70 : 783.41 = 346.84 : x
  2. Step 2: Convert to fraction form
    567.70/783.41 = 346.84/x
  3. Step 3: Cross multiply
    567.70x = 783.41 × 346.84
  4. Step 4: Simplify right side
    567.70x = 271,714.23
  5. Step 5: Solve for x
    x = 271,714.23/567.70
  6. Step 6: Final answer
    x = 478.63

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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.