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Finding the Fourth Proportional to 568.47, 852.16 and 203.06

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Solution

The fourth proportional to 568.47, 852.16 and 203.06 is: 304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.47 : 852.16 = 203.06 : x
  2. Step 2: Convert to fraction form
    568.47/852.16 = 203.06/x
  3. Step 3: Cross multiply
    568.47x = 852.16 × 203.06
  4. Step 4: Simplify right side
    568.47x = 173,039.61
  5. Step 5: Solve for x
    x = 173,039.61/568.47
  6. Step 6: Final answer
    x = 304.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.