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Finding the Fourth Proportional to 568.23, 783.93 and 346.80

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Solution

The fourth proportional to 568.23, 783.93 and 346.80 is: 478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.23 : 783.93 = 346.80 : x
  2. Step 2: Convert to fraction form
    568.23/783.93 = 346.80/x
  3. Step 3: Cross multiply
    568.23x = 783.93 × 346.80
  4. Step 4: Simplify right side
    568.23x = 271,866.92
  5. Step 5: Solve for x
    x = 271,866.92/568.23
  6. Step 6: Final answer
    x = 478.45

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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.