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Finding the Fourth Proportional to 568.02, 783.78 and 319.35

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Solution

The fourth proportional to 568.02, 783.78 and 319.35 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 783.78 = 319.35 : x
  2. Step 2: Convert to fraction form
    568.02/783.78 = 319.35/x
  3. Step 3: Cross multiply
    568.02x = 783.78 × 319.35
  4. Step 4: Simplify right side
    568.02x = 250,300.14
  5. Step 5: Solve for x
    x = 250,300.14/568.02
  6. Step 6: Final answer
    x = 440.65

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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.