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Finding the Fourth Proportional to 566.40, 848.23 and 392.61

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Solution

The fourth proportional to 566.40, 848.23 and 392.61 is: 587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 848.23 = 392.61 : x
  2. Step 2: Convert to fraction form
    566.40/848.23 = 392.61/x
  3. Step 3: Cross multiply
    566.40x = 848.23 × 392.61
  4. Step 4: Simplify right side
    566.40x = 333,023.58
  5. Step 5: Solve for x
    x = 333,023.58/566.40
  6. Step 6: Final answer
    x = 587.97

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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.