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Finding the Fourth Proportional to 566.16, 781.68 and 379.86

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Solution

The fourth proportional to 566.16, 781.68 and 379.86 is: 524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 781.68 = 379.86 : x
  2. Step 2: Convert to fraction form
    566.16/781.68 = 379.86/x
  3. Step 3: Cross multiply
    566.16x = 781.68 × 379.86
  4. Step 4: Simplify right side
    566.16x = 296,928.96
  5. Step 5: Solve for x
    x = 296,928.96/566.16
  6. Step 6: Final answer
    x = 524.46

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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.