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Finding the Fourth Proportional to 566.05, 781.59 and 456.05

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Solution

The fourth proportional to 566.05, 781.59 and 456.05 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.05 : 781.59 = 456.05 : x
  2. Step 2: Convert to fraction form
    566.05/781.59 = 456.05/x
  3. Step 3: Cross multiply
    566.05x = 781.59 × 456.05
  4. Step 4: Simplify right side
    566.05x = 356,440.21
  5. Step 5: Solve for x
    x = 356,440.21/566.05
  6. Step 6: Final answer
    x = 629.70

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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.