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Finding the Fourth Proportional to 568.44, 785.70 and 524.70

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Solution

The fourth proportional to 568.44, 785.70 and 524.70 is: 725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.44 : 785.70 = 524.70 : x
  2. Step 2: Convert to fraction form
    568.44/785.70 = 524.70/x
  3. Step 3: Cross multiply
    568.44x = 785.70 × 524.70
  4. Step 4: Simplify right side
    568.44x = 412,256.79
  5. Step 5: Solve for x
    x = 412,256.79/568.44
  6. Step 6: Final answer
    x = 725.24

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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.