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Finding the Fourth Proportional to 566.93, 781.92 and 380.36

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Solution

The fourth proportional to 566.93, 781.92 and 380.36 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.93 : 781.92 = 380.36 : x
  2. Step 2: Convert to fraction form
    566.93/781.92 = 380.36/x
  3. Step 3: Cross multiply
    566.93x = 781.92 × 380.36
  4. Step 4: Simplify right side
    566.93x = 297,411.09
  5. Step 5: Solve for x
    x = 297,411.09/566.93
  6. Step 6: Final answer
    x = 524.60

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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.