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Finding the Fourth Proportional to 566.32, 848.92 and 383.74

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Solution

The fourth proportional to 566.32, 848.92 and 383.74 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.32 : 848.92 = 383.74 : x
  2. Step 2: Convert to fraction form
    566.32/848.92 = 383.74/x
  3. Step 3: Cross multiply
    566.32x = 848.92 × 383.74
  4. Step 4: Simplify right side
    566.32x = 325,764.56
  5. Step 5: Solve for x
    x = 325,764.56/566.32
  6. Step 6: Final answer
    x = 575.23

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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.