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Finding the Fourth Proportional to 568.06, 783.82 and 332.00

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Solution

The fourth proportional to 568.06, 783.82 and 332.00 is: 458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.06 : 783.82 = 332.00 : x
  2. Step 2: Convert to fraction form
    568.06/783.82 = 332.00/x
  3. Step 3: Cross multiply
    568.06x = 783.82 × 332.00
  4. Step 4: Simplify right side
    568.06x = 260,223.49
  5. Step 5: Solve for x
    x = 260,223.49/568.06
  6. Step 6: Final answer
    x = 458.09

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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.