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Finding the Fourth Proportional to 568.75, 784.89 and 320.06

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Solution

The fourth proportional to 568.75, 784.89 and 320.06 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.75 : 784.89 = 320.06 : x
  2. Step 2: Convert to fraction form
    568.75/784.89 = 320.06/x
  3. Step 3: Cross multiply
    568.75x = 784.89 × 320.06
  4. Step 4: Simplify right side
    568.75x = 251,211.89
  5. Step 5: Solve for x
    x = 251,211.89/568.75
  6. Step 6: Final answer
    x = 441.70

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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.